Strategies for Monetizing Your Blog with Google AdSense

Strategies for Monetizing Your Blog with Google AdSense In this article, we will explore different strategies for monetizing a blog site using Google AdSense. We will start with 1) what is Google AdSense, going then to describe 2) why using Google AdSense is a good idea, 3) requirements for using Google AdSense, and 4) monetizing strategies with Google AdSense.WHAT IS GOOGLE ADSENSE?AdSense is the powerhouse moneymaker program by Google, which provides everyone with a win-win situation. Through this program, companies can promote their ads to their   at a comparatively cheaper cost while website or blog owners can make money displaying those ads. In this advertising cycle, everyone makes money and companies get a chance to bring their businesses right in front of their target audience.Criteria for AdSenseThere are different criteria that Google uses to send ads to a particular website or blog through AdSense:Contextual targeting: In this kind of targeting, AdSense crawlers analyze the kind of content that is present on your website or blo g by scanning your page and decide which ads suit your website or blog the most. This is conducted by analyzing the structure of the website/blog, font size, word frequency, and keyword usage.Placement targeting: In this kind of targeting, companies or advertisers choose specific subsections for ad placement and, therefore, their ads only appear on the publisher’s website if the company’s criteria match with the website.Interest-based advertising: The interests of users play a major role in this kind of advertising. Companies analyze if users have already come to their website previously and make a decision accordingly. Ads Preferences Manager enables users to define their interests, which makes it easier for advertisers to maintain focus on their ad campaigns. This is an excellent method for website monetizing as it enables users to have a relevant experience while providing great value for advertisers.WHY USING GOOGLE ADSENSE IS A GOOD IDEAThere are many many advantages for bl oggers to make use of Google AdSense. From the ease of use to making money through writing content, AdSense provides great opportunities to bloggers.Attracting International TrafficNumerous blog owners find it difficult to spot advertisers that cater to Non-US target groups and hence they cannot even participate in the advertising network if their blogs attract users from outside North America. However, this does not apply to AdSense. The whole world knows what Google is about and, therefore, this program has advertisers from all over the globe. Therefore, it does not matter which location your blog is focused on; you will find advertisers who will be willing to post their ads on your blog.Easy to use and quick access to advertisersBloggers do not have to be tech-savvy in order to understand AdSense and keep it running on their blogs. Anyone can set it up and begin displaying ads in just a few minutes. Google has now made the ad units more seamless than ever before, and that is why numerous ad networks are following the footsteps of AdSense. Moreover, it is not easy for bloggers to directly approach, talk, pitch and then negotiate with independent advertisers in order to make money.Bloggers are just interested in writing great content for their readers while making money on-the-go without much hassle and trouble. All bloggers have to do is to add the code to their blogs and then let it be. Obviously, you will increase your chances of money making if you pay attention to the ad positioning and testing different designs.Vast variety of topicsApart from having advertisers that cater to almost every geographic location in the world, AdSense also has a huge base of companies that deal with all sorts of topics. Therefore, even if you are dealing with highly targeted niche and complex topics, AdSense will still be able to find advertisers for your blog.Unspecified Traffic LevelRecent bloggers who do not have much traffic also struggle to find advertisers. AdSense doe s not have a specified or minimum traffic level that you need to have in order to be accepted by the program. Even if you have a few readers, you can start making a little money as you grow your readership with time.Use Other Ad NetworksAre you thinking about running different ads from different ad networks alongside AdSense? Do not worry! Google has become very flexible in this regard over time and provides bloggers with complete freedom of action.Ad FormatsYou can easily customize your ads through selecting different ad unit sizes and can also opt for displaying different ad formats such as Ad link units, Video Ads, Image Ads besides the usual Text ads. Other ad networks only allow a maximum of two ad formats while AdSense has no limitation.Timely PaymentGoogle is highly credible in everything it does and, therefore, has a good reputation with the advertisers as well. This means a blogger can have peace of mind when it comes to receiving payments through AdSense.Performance toolsG oogle provides personalized and detailed reports to bloggers that help them understand the performance of a particular ad and identify how growth can be achieved.Additional featuresBloggers have a lot of freedom of action when it comes to AdSense; they can select ads that are compatible with both desktop and mobile devices. Similarly, they can select ads that directly cater to their readers and are designed for a particular target group.REQUIREMENTS FOR USING GOOGLE ADSENSEIn order to be successful in using AdSense for your blog you need to work on the following points:High Traffic WebsiteThe more traffic you will have, the more money you will make. AdSense is probably the easiest and quickest way for bloggers to make sure that they make money from writing or publishing high-quality content. However, no one can provide you with an exact figure of how much money would you be able to make through this program as your total earnings will depend on your CTR (click through rate) and EPC (earnings per click). Hence, every blogger should strive to have a highly targeted audience.Website Functionality and ContentIt does not matter whether you post videos, pictures or text, if your content is amazing, AdSense will love you. However, you will have to keep the AdSense content policies in mind in order to make money through it. Optimization is the key especially if you are dealing with too much video and image content, helping the crawlers identify the type of content that is present on your blog or website. That is why AdSense works the best with blogs and websites that have great text content such as success stories, how-to tutorials, and case studies.Also, your blog or website needs to be highly functional, user-friendly, and high quality as Google will not want its clients’ ads to show up on a blog or website that is poorly designed. In the past few years, Google has made its policies quite staunch in this regard.There are numerous blogs that fall under the category of MFA (made for AdSense). These blogs are only created so that they could earn revenue through this program by posting low quality and mediocre content. Such black hat tactics no longer work with Google, and all bloggers and website owners have to make sure that they have a defined purpose of their platforms, which goes beyond gaining online clicks for money. If you are passionate about a particular field and are willing to work hard, you will not only make great money through AdSense but will also create a genuine name for yourself in the industry which can further help you monetize your blog.Keyword targetingWhether you are working with AdSense or any other ad platform, targeting the correct keywords is the first step, which will decide how much money you will make. Advertisers bid on specific keywords and the more you use those keywords, higher the chances you will have to increase your income. Blog or website owners should focus using keywords that companies use to promote the ir products or services or opt for keywords with a high conversion rate.Take the example of two website that deal in cancer prevention and both of the websites have the equal amount of traffic and are making money through AdSense. The first website targets keywords such as, “anti-cancer home remedies”, “how to fight against cancer” and cancer prevention tips.” The second website is optimized for keywords such as, “health tips”, “why drinking milk is important” and “important multivitamins”.While both of the websites have similar traffic, the first one will make more money as advertisers will be interested in keywords that are directly relevant to treating or preventing cancer. Users are also more likely to click on the links that provide relevant information rather than general topics.Therefore, bloggers should strive for organic traffic as it has a high conversion rate and is more relevant for the advertisers.AdSense ComplianceAdSense is highly important for G oogle as it makes one-third of its revenue through this program. Anyone can easily sign-up for the AdSense account, but you have to make sure that you comply with its policies to avoid losing your account. Do not try to trick the search engines and make sure that you read and understand the policies thoroughly before signing up for an account.MONETIZING STRATEGIES WITH GOOGLE ADSENSEGetting an AdSense account is as simple as signing up for it. However, there are numerous strategies that can be used by bloggers or website owners to earn higher revenue through this program.Basic tipsHere are some basic tips to get you started with AdSense money making:Use Common Ad SizesAdvertisers have the opportunity of choosing from numerous ad units although there are some basic ad sizes that are more common. Bloggers and website owners should use these standard measurements to make sure that their platform gets selected from a vast pool of advertisers. These common sizes are 160×600, 728×90, an d 300×250.Incorporate Link UnitsNumerous advertisers these days opt for link units and hence website owners should pay close attention to them.Allow Image and Text AdsYou can either restrict AdSense ad unit to display only image ads or to allow both image and text ads to appear. Allowing both of these options will make sure that you get a great pool of ads for your blog or website thus increasing your revenue.Keep an eye on the dashboardGo to the “scorecard” under the ‘AdSense Partners’ menu to know the revenue optimization score. It will let you know your score, and you can make modifications or conduct testing if you think that your score is not high enough.Do not overdo itAt times, greed takes over bloggers and website owners leading them to make decisions that might do wrong to the overall user experience of the website. While this can potentially earn you a few extra bucks in the beginning, it will not be fruitful in the long-term. Therefore, keep the ads at the optima l to make sure that your website or blog is not all about ads or revenue generation.Ad PositioningATF â€" Above The Fold ad units are the most revenue-friendly. Try to place your ads strategically on the top of the page in order to get the maximum clicks.Keep an eye on the Fill RateMake sure that your website or blog is not going to waste through displaying blank space instead of ads. Position your ads appropriately and keep an eye on the fill rate to make sure that you earn the maximum through AdSense.Experiment IdeasYou can only ensure that your ads are getting the exposure they deserve through conducting experiments and testing. Always remember that you can tweak some design esthetics of the same ad to make it more appealing.Play around with colors and sizesYou can increase the size of your ads and edit their colors to make sure that they get the maximum eyeballs. If you think that an ad contains information that deserves a large space, increase its size to 970×90 from the previ ous 728×90. This is significant in increasing the conversion rates and helps bloggers and website owners to run convincing ads with efficient calls to actions.Moreover, you can also play around with the colors of the ad unit. While this may sound very simple, it can sometimes take hours for testing and previewing. Make sure that your text, background and border color do not overlap each other, and the ad is perfectly visible and readable even after changing the default colors. Similarly, you can also edit the link unit color to go from the basic blue to something extra for higher visibility. However, keep it subtle and do not opt for colors such as purple or hot pink for link units.Ad PositioningWebsite or Blog layout will eventually decide which ad position would be the best. However, placing ads in or near the comment section can increase engagement. If you have a weblog or blog with active participants, then this kind of placement will be a good idea for you. Moreover, putting l inks under the navigation bars is a common ad placement option that bags huge returns. You can also place ads strategically within your content for higher user engagement.Conduct A/B testingA/B testing is super important because it tells you the impact your ad is having on your users. Therefore, you have the ability to change the impact through experimenting with different designs, layouts, font size, colors, etc. Google Experiments is a great way to make more money with AdSense. It is very user-friendly, and it will just take you 30 minutes to fully familiarize yourself with it. Make sure that you have an experiment or testing going on at all times to stay on top of your earnings.Conduct better A/B testingIf you are using other ad types or platforms apart from AdSense, make sure that you shut all of them while conducting Google Experiments, as it will be able to provide you with better and focused results. This will help you in analyzing if you are wasting your blog or website spac e through displaying low earning ads so that you can move forward and make the decision of removing them.Technical tipsBeyond all the basic monetizing strategies and design principles, the loading speed of a website and its overall functionality play a vital role in making money through AdSense.Optimize your Desktop Mobile trafficOptimizing the desktop traffic is the first step to earning via AdSense. However, for some blog or website owners, their mobile traffic might be a lot more than their desktop traffic. Therefore, make sure that you optimize keeping both mobile and desktop traffic in mind for the best gains.Optimize your Website SpeedA user-friendly website is extremely important to earn more via AdSense as Google does not want its partners’ ads to show up on websites that are a loading disaster. Make sure that ads load quickly, and the overall speed of your website is nicely optimized for higher functionality.Asynchronous Ad CodesThrough using Asynchronous Ad Codes, you c an make sure that your basic website content will load separately from the ads you are displaying. This enhances the click rates and user experience and will foster better website loading.Incorporate Responsive AdSense CodesIf you want to optimize your website or blog to different screen sizes, you can utilize the Responsive AdSense Code. This will automatically chance the size of ad units placed on your website or blog according to the user’s screen.Mobile Anchor AdsThrough Google’s Mobile Anchor Ad, you can display ads on a mobile screen which will continuously stick to the screen’s bottom as the user scrolls down.AdSense ReportingAdSense Reporting provides users with flexible and detailed interface carrying important information that is required to make necessary changes for better optimization.

What Are Bipolar Disorder - 1240 Words

The apparent increase in the number of children in today’s society that are diagnosed with mental illness, especially that of bipolar disorder, does not seem to come as much of a surprise to anyone. Yet, why is this? Is the recent over-diagnosis due in part to fault within the definition of what pediatric bipolar disorder actually is? Many believe this to be the case; while others support the notion that bipolar disorder is not over diagnosed and the recent prevalence of the disorder is the result of increased awareness on the part of health professionals along with an increase in the number of children who are more readily succumbing to such a disorder. To admit to an over diagnosis should not be seen as a denial of the disease itself, but rather, the different clinical presentations of the disorder should be seen as an inconsistency among practitioners. This discrepancy results in the acknowledgment of more cases than actually exists; an admission of this over-diagnosis woul d be seen merely as a flaw within the ability of practitioners to reach a consensus. Such a flaw manifests itself in the over diagnosis of the disorder, which is something that, for the sake of the client as well as the field as a whole, should not be overlooked. It is common for people to fear that of which they do not know; unfortunately, problems arise when this universal lack of knowledge manifests itself in the uncertainty surrounding children who need appropriate direction. Bipolar disorder canShow MoreRelatedWhat Is Bipolar Disorder?.1101 Words   |  5 PagesWhat is Bipolar disorder? Bipolar disorder, formerly known as manic-depression, is a mental disorder. This condition primarily affects your mood and can cause extreme mood swings from elation to depression. 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Often, individuals who suffer with BD are stigmatized and discriminated. The following piece is part of a poem called â€Å"You and Me† written by Debbie Sesula, â€Å"...If you get angry /You’re considered upset/Read MoreWhat Is Bipolar 2, Well First Of Its A Disorder?969 Words   |  4 PagesWhat is Bipolar 2...well first of its a disorder. A mental illness that effects everyone, yes more woman then men, and is world wide. Recently has been know to be heredity in the genes. A form of mental illness that has very few manic episodes and majority down, depressed episodes. Since with people with bipolar 2 never reach the full maniac stage. Yes these are the mood swings up and down, like the brain has a switch and just turns off the high and lows. The person doesn t feel in controlRead MoreUnderstanding Bipolar Disorder and Evaluating the Possible Causes and Treatments1261 Words   |  6 Pagesevery single detail of life is good. 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In this book the author discusses her own dealings with Bipolar Disorder. She goes on to say howRead MoreDo People Living With Bipolar Disorder Need Medication?1154 Words   |  5 Pagesliving with bipolar disorder need medication People living with bipolar disorder need medication to help them function at their full potential. Some people feel that people living with bipolar disorder do not need to be medicated to live a healthy fulfilling life. However to say this first a person must know what bipolar disorder is and how a person is affected by the disorder. According to Rachal Pollock PHD bipolar is described as a common recurrent, often lifelong major psychiatric disorder characterized

Rhetorical Analysis Of Unicef s Campaign For Children

UNICEF created a campaign for children that need a family; hence, the title, Every Child Needs a Family due to the increasing number of children without families. These children lack a caring and loving family; therefore, in order to decrease the number of children without a family, UNICEF brilliantly put together the advertisement that touches the heart of those who look at it. The image seems to be taken at a storefront with a male and a female mannequin. Perhaps, since the mannequins look like the ideal parents, the child decides to hold the mannequins hands. The construction of this advertisement incorporated the use of rhetorical strategies such as a contemporary style environment, in order to enhance the rhetorical situation. The rhetorical situation then creates a more effective approach due to the display of affection that tries to inform its audience about the increase of children that needs a family and people should make a difference by helping out in any way. The rhetori cal strategies incorporated into the advertisement played an enormous role in its effectiveness. The author, UNICEF, has a large influence due to its global recognition as an organization that works for children in over 190 countries. For this particular audience, UNICEF is targeting adults, which leads to the purpose. UNICEF targets adults so that the adults will be more likely to adopt a child in need. The phrase that the advertisement stated is, â€Å"Every child needs a family†; therefore, theShow MoreRelatedImportance of Corporate Social Responsibility2089 Words   |  8 Pagesconglomerates in the world and enjoys presence across the globe. This paper aims at carrying out a critical analysis of the social activities that Proctor Gamble is carrying out under the banner of its campaign, Live, Learn and Thrive. Introduction As a large conglomerate, and understanding the need to become responsive towards social needs, Proctor Gamble launched a massive campaign called Live, Learn and Thrive as parts of its corporate social responsibility. While the company has launchedRead MoreOrganisational Theory230255 Words   |  922 Pagesmanaging, organizing and reflecting on both formal and informal structures, and in this respect you will find this book timely, interesting and valuable. Peter Holdt Christensen, Associate Professor, Copenhagen Business School, Denmark McAuley et al.’s book is thought-provoking, witty and highly relevant for understanding contemporary organizational dilemmas. The book engages in an imaginative way with a wealth of organizational concepts and theories as well as provides insightful examples from the

Cheerios commercial Free Essays

This commercial was different than any other cheerios commercial because it involved an interracial couple and their mixed daughter. In the video, you see the little girl and her mother sitting at the table. The girl starts off by saying â€Å"mom, dad said cheerios were good for your heart is that true? † The mother replies, â€Å"Cheerios has healthy grains and it helps with cholesterol so that’s heart healthy. We will write a custom essay sample on Cheerios commercial or any similar topic only for you Order Now † The little girl smirks and walks away. The next scene you see the dad sleeping on the ouch with a whole bunch of cheerios on top of his heart. This video received a lot of backlash on Youth about this interracial couple. One stereotypical thing that was portrayed was the fact that people refer to African Americans as having a lot of heart problems because of what they eat. The little girl obviously understood that and wanted her dad to be healthier by placing the cheerios on his heart. This of course was frowned upon because not all African Americans have heart problems. Cheerios ended up banning the commercial and they then recreated a new one with the same family. The second commercial involved the dad telling the daughter that her mother was pregnant by using cheerios and in the end she says she would like a dog if she’s getting a new baby brother. I feel as though the racial issues African Americans have gone through in the past still do somewhat exist. There are constantly so many stereotypes being made about African Americans. People are ignorant and they are so quick to Judge someone’s culture without actually knowing anything about it. I myself am married to an African American man and our children are also mixed but he does not have heart problems nor does anybody in his family. Most categorize people by color and culture but that does not mean that we are all the same. Though slavery was overruled in 1865 and segregation ended in 1964, there are still people out there who believe in it. When people saw this commercial of the interracial couple, the people who don’t necessarily like or believe in interracial couples also had some things to say about the video. Some of them said they would no longer eat cheerios because of knowing an interracial couple does or was even in the commercial. How to cite Cheerios commercial, Papers

What is Chlamydia an Example of the Topic All Posts by

What is Chlamydia? With over three million cases in the United States and ten million worldwide added each year, chlamydia has become the most prevalent and commonly contracted sexually transmitted disease (STD). Like the Acquired Immunodeficiency Syndrome (AIDS), it is spread through sexual contact vaginal, oral, and anal intercourse with an infected partner. A bacterium called Chlamydia trachomatis that lives in an infected womans vaginal secretions or in an infected mans semen causes the infection. Higher infection rates are found in sexually active teenagers especially females (Balch, 2006, p. 320). Need essay sample on "What is Chlamydia?" topic? We will write a custom essay sample specifically for you Proceed Chlamydia is known as a silent yet dangerous disease. Statistics shows that as many as 50 percent of the men and 75 percent of the women who have chlamydia are symptoms free. If the infection is severe enough, women may experience genital inflammation, vaginal or urethral discharge, difficulty in urinating and a burning sensation during urination, painful intercourse, and itching around the inflamed area. In males, signs of infection are visible with prostatitis (symptoms include pain when urinating and a watery mucous discharge from the penis), inflammation of the seminal vesicles, and pain and swelling in the testicles (Balch, 2006, p. 321). When symptoms of chlamydia are detected, it is very important to seek urgent treatment. For women, untreated infection may lead to sterility. To make sure that the disease is not transmitted back and forth, both partners must be medicated. Antibiotics can also easily cure chlamydia-infected people. Natural therapies, like water fast or fasting using fruit and vegetable juices, were also proven to be of help in reducing the dangers of complications of this sexually transmitted disease (Goldberg, Trivieri & Anderson, 2002, p. 906). However, the most helpful way to prevent and treat the spread of the bacteria is to refrain from multiple sexual relationship. Reference: Balch, P. A. (2006). Prescription for Nutritional Healing. New York: Penguin Group. Breguet, A. (2007). Chlamydia. New York: The Rosen Publishing Group, Inc. Carlson, K. J., Eisenstat, S. A. s Health. Massachusetts: President and Fellows of Harvard College. Crooks, R. & Baur, K. (2008). Our Sexuality. California: Thomson Wadsworth. Goldberg, B., Trivieri, L. & Anderson, J. W. (2002). Alternative Medicine: The Definitive Guide. California: AlternativeMedicine.com.

Unit 1 Dbq Essay Example

Unit 1 Dbq Essay Example Unit 1 Dbq Essay Unit 1 Dbq Essay They sailed over from England, all seeking glorified opportunities. These English colonists sought out an opportunity when boarding ships and leaving the Old World to travel to the exciting unknown; but each person had their own unique desire. These unique desires led to the many diverse societies that spread all throughout the eastern sea board of the New World by the 1700’s. Religious tolerance, organization in government, and economic stability were all contributing factors to the differences New England and Chesapeake Bay regions had. In Documents B and C, there are two lists of emigrants. Document B’s list is of emigrants traveling to New England and Document C’s list is of emigrants traveling to Virginia. These lists give names, ages, gender, some of their occupations, and the dates the emigrants arrived to their destination. These lists indicate that two distinct societies formed through the differences these people had when embarking to the New World. The list withheld in Document B shows that equally men and women traveled to the New England area than in Document C’s list; also more families, and one minister. In Document C there was a plethora of men compared to women. These people who traveled to Virginia all agreed to live by the Church of England and took oaths to keep its supremacy, this shows that based on the people traveling to Virginia were more religious than the colonists traveling to New England, they respected the Church of England and planned to turn Virginia into a small colony to practice religion, as if they were in England. The differences in the New England area versus the Chesapeake area was religious tolerance and the lists in these documents show how fundamental Virginia colonists were compared to New England colonists. Documents G and H both talk about reasons for diversity in the Chesapeake Bay area. Document G was by Governor Berkeley who fought to defend Virginia against Dutch attacks. This document shows how Governor Berkeley’s council tried to defend their freedom and keep practicing methods their way. Similarly, in Document H, Bacon writes a passage against Governor Berkeley in 1676 to justify his actions for pursuing his rebellion. Bacon says how arts and sciences and other ways of life are sucked up by the public. This shows that the Chesapeake region had conflict, involving religion and ways people should carry out daily activities. Bacon and Governor Berkeley were both prominent people in shaping the Chesapeake area into the religious, politically unorganized, middle colony it evolved to be. With this, it brought its society into a different importance than did New England. Documents D and E both exemplify factors of the New England society. Document D is an agreement in Springfield, Massachusetts in 1636 that talks about how they would like society to be run, and how the people are. That everyone should have a share of the meadow or planting ground. † This quote shows that this agreement helped make New England an equal and free society. The people wanted everyone to live amongst one another in harmony and have convenient living standards. Document E explains how New England wanted to regulate pay. It seems just and well thought out. This impacted the New England colony to achieving a n organized government and a stable political system unlike the Chesapeake Bay area. In Document A, John Winthrop writes a passage about Christianity and charity. He was a fundamental Puritan in the New England area who preached Christianity and how God wanted people to act. His passage contributes to how New England civilization was. The society was endowed in all sects of Christianity and Winthrop’s passage in Document A gives evidence that he wanted the colony to remain Christian and hold the same values as he did. In conclusion, New England and Chesapeake Bay were both settled by a large population of English colonists. However, they differed from each other in many different ways. New England was more lenient about religion, wanted equality, and seemed to have a plan to begin governmental organization right from the get go. On the other hand the Chesapeake was a more fundamental Christianity, had an unstable political plan and had various issues in settling the territory. They both were unique and heterogeneous when it came to the running of society and how people functioned but that’s why so many English settlers came to the New World; to found their beliefs in a place where they would be accepted and free.

Exponential Functions - How to Find the Starting Value

Exponential Functions - How to Find the Starting Value Exponential functions tell the stories of explosive change. The two types of exponential functions are exponential growth and exponential decay. Four variables - percent change, time, the amount at the beginning of the time period, and the amount at the end of the time period - play roles in exponential functions. This article focuses on how to find the amount at the beginning of the time period, a. Exponential Growth Exponential growth: the change that occurs when an original amount is increased by a consistent rate over a period of time Exponential Growth in Real Life: Values of home pricesValues of investmentsIncreased membership of a popular social networking site Heres an exponential growth function: y a(1 b)x y: Final amount remaining over a period of timea: The original amountx: TimeThe growth factor is (1 b).The variable, b, is percent change in decimal form. Exponential Decay Exponential decay: the change that occurs when an original amount is reduced by a consistent rate over a period of time Exponential Decay in Real Life: Decline of Newspaper ReadershipDecline of strokes in the U.S.Number of people remaining in a hurricane-stricken city Heres an exponential decay function: y a(1-b)x y: Final amount remaining after the decay over a period of timea: The original amountx: TimeThe decay factor is (1-b).The variable, b, is percent decrease in decimal form. Purpose of Finding the Original Amount Six years from now, perhaps you want to pursue an undergraduate degree at Dream University. With a $120,000 price tag, Dream University evokes financial night terrors. After sleepless nights, you, Mom, and Dad meet with a financial planner. Your parents bloodshot eyes clear up when the planner reveals an investment with an 8% growth rate that can help your family reach the $120,000 target. Study hard. If you and your parents invest $75,620.36 today, then Dream University will become your reality. How to Solve for the Original Amount of an Exponential Function This function describes the exponential growth of the investment: 120,000 a(1 .08)6 120,000: Final amount remaining after 6 years.08: Yearly growth rate6: The number of years for the investment to growa: The initial amount that your family invested Hint: Thanks to the symmetric property of equality, 120,000 a(1 .08)6 is the same as a(1 .08)6 120,000. (Symmetric property of equality: If 10 5 15, then 15 10 5.) If you prefer to rewrite the equation with the constant, 120,000, on the right of the equation, then do so. a(1 .08)6 120,000 Granted, the equation doesnt look like a linear equation (6a $120,000), but its solvable. Stick with it! a(1 .08)6 120,000 Be careful: Do not solve this exponential equation by dividing 120,000 by 6. Its a tempting math no-no. 1. Use Order of Operations to simplify. a(1 .08)6 120,000 a(1.08)6 120,000 (Parenthesis) a(1.586874323) 120,000 (Exponent) 2. Solve by Dividing a(1.586874323) 120,000 a(1.586874323)/(1.586874323) 120,000/(1.586874323) 1a 75,620.35523 a 75,620.35523 The original amount, or the amount that your family should invest, is approximately $75,620.36. 3. Freeze -youre not done yet. Use order of operations to check your answer. 120,000 a(1 .08)6 120,000 75,620.35523(1 .08)6 120,000 75,620.35523(1.08)6 (Parenthesis) 120,000 75,620.35523(1.586874323) (Exponent) 120,000 120,000 (Multiplication) Practice Exercises: Answers and Explanations Here are examples of how to solve for the original amount, given the exponential function: 84 a(1.31)7Use Order of Operations to simplify.84 a(1.31)7 (Parenthesis) 84 a(6.620626219) (Exponent)Divide to solve.84/6.620626219 a(6.620626219)/6.62062621912.68762157 1a12.68762157 aUse Order of Operations to check your answer.84 12.68762157(1.31)7 (Parenthesis)84 12.68762157(6.620626219) (Exponent)84 84 (Multiplication)a(1 -.65)3 56Use Order of Operations to simplify.a(.35)3 56 (Parenthesis)a(.042875) 56 (Exponent)Divide to solve.a(.042875)/.042875 56/.042875a 1,306.122449Use Order of Operations to check your answer.a(1 -.65)3 561,306.122449(.35)3 56 (Parenthesis)1,306.122449(.042875) 56 (Exponent)56 56 (Multiply)a(1 .10)5 100,000Use Order of Operations to simplify.a(1.10)5 100,000 (Parenthesis)a(1.61051) 100,000 (Exponent)Divide to solve.a(1.61051)/1.61051 100,000/1.61051a 62,092.13231Use Order of Operations to check your answer.62,092.13231(1 .10)5 100,00062,092.13231(1.10)5 100,000 (Parenthesis)62,092.13231(1.61051) 100,000 (Exponent)100,000 100,00 0 (Multiply) 8,200 a(1.20)15Use Order of Operations to simplify.8,200 a(1.20)15 (Exponent)8,200 a(15.40702157)Divide to solve.8,200/15.40702157 a(15.40702157)/15.40702157532.2248665 1a532.2248665 aUse Order of Operations to check your answer.8,200 532.2248665(1.20)158,200 532.2248665(15.40702157) (Exponent)8,200 8200 (Well, 8,199.9999...Just a bit of a rounding error.) (Multiply.)a(1 -.33)2 1,000Use Order of Operations to simplify.a(.67)2 1,000 (Parenthesis)a(.4489) 1,000 (Exponent)Divide to solve.a(.4489)/.4489 1,000/.44891a 2,227.667632a 2,227.667632Use Order of Operations to check your answer.2,227.667632(1 -.33)2 1,0002,227.667632(.67)2 1,000 (Parenthesis)2,227.667632(.4489) 1,000 (Exponent)1,000 1,000 (Multiply)a(.25)4 750Use Order of Operations to simplify.a(.00390625) 750 (Exponent)Divide to solve.a(.00390625)/00390625 750/.003906251a 192,000a 192,000Use Order of Operations to check your answer.192,000(.25)4 750192,000(.00390625) 750750 750