Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.e. common ratio; growth multiplier) was around 1.8. In 1983, about 1500 people in the U.S. died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2003? people (Note: once diseases become widespread, they start to behave more like logistic growth, but don't worry about that for the purpose of this exercise)

Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.e. common ratio; growth multiplier) was around 1.8. In 1983, about 1500 people in the U.S. died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2003? people (Note: once diseases become widespread, they start to behave more like logistic growth, but don't worry about that for the purpose of this exercise)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter5: Exponential And Logarithmic Functions

Section5.2: Applications Of Exponential Functions

Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...

See similar textbooks

Similar questions

With what kind of exponential model would half-life be associated? What role does half-life play in these models?
With what kind of exponential model would doubling time be associated? What role does doubling time play in these models?
What might a scatterplot of data points look like if it were best described by a logarithmic model?
An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?
What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
Does a linear, exponential, or logarithmic model best fit the data in Table 2? Find the model.
Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program changed the formula for poulation growth to Pt=1000e0.01t. How long will the food supply be adequate? EXAMPLE 4 Using a Graphing Calculator to Solve a popuiation Problem Suppose that a country with a population of 1000 people is growing exponentially according to the population function Pt=1000e0.02t Where t in years. Furthermore, assume that the food supply, measured in adequate food per day per person, is growing linearly according to the function fx=30.625x+2000 In how many years will the population outstrip the food supply?
Sales of a video game released in the year 2000 took off at first, but then steadily slowed as time moved on. Table 4 shows the number of games sold, in thousands, from the years 20002010. a. Let x represent time in years starting with x=1 for the year 2000. Let y represent the number of games sold in thousands. Use logarithmic regression to fit a model to these data. b. If games continue to sell at this rate, how many games will sell in 2015? Round to the nearest thousand.
Jerome invests $18,000 at age 17. He hopes the investments will be worth $30,000 when he turns 26. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Is that a reasonable expectation?
What is the difference between the equation for exponential growth versus the equation for exponential decay?