1. The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 1997. Your answer is billion.

2. 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 1.9. In 1983, about 1800 people in the U.S. died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2004? 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)

3. Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2018? thousand people.

4. Tacoma's population in 2000 was about 200 thousand, and has been growing by about 9% each year. If this continues, what will Tacoma's population be in 2013? people.

5. The rabbit population at the city park increases by 15% per year. If there are intially 224 rabbits in the city park. a) Construct a model for the population (y) in terms of years (t). y= b) Find the rabbit population in 17 years. (Round to the nearest whole rabbit) c) [Estimate] When the rabbit population reaches 27886. It will happen between year and year.

6. Does the following represent exponential growth or decay? y=8(3/2)^x

Growth or Decay?

7. Determine whether the following equation represents an exponential growth or exponential decay. y=182(0.15)^x exponential growth or exponential decay.

8. Determine whether the following equation represents exponential growth or exponential decay. y=(23/5)(13/30)^x exponential growth or exponential decay.

9. The rabbit population at the city park increases by 8% per year. If there are intially 448 rabbits in the city park a) Construct a model for the population (y) in terms of years (t). y= b) Find the rabbit population in 10 years. (Round to the nearest whole rabbit)

10.The rabbit population at the city park increases by 9% per year. If there are intially 238 rabbits in the city park. a) Construct a model for the population (y) in terms of years (t). y= b) Find the rabbit population in 18 years. (Round to the nearest whole rabbit) c) How long will it take for the rabbit population to reach 4658. Round your answer to 3 decimal places.

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