5. A population grows according to an exponential growth model, with P0=80P0=80 and P1=136P1=136 Complete the recursive formula: PnPn = Pn1Pn-1 Write an explicit formula for PnPn PnPn =

6. 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 2.1. In 1983, about 2000 people in the U.S. died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2004?

7. 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 2017?

8. Inflation causes things to cost more, and for our money to buy less (hence your grandparents saying "In my day, you could buy a cup of coffee for a nickel"). Suppose inflation decreases the value of money by 2% each year. In other words, if you have $1 this year, next year it will only buy you $0.98 worth of stuff. How much will $100 buy you in 20 years?

9. Assume there is a certain population of fish in a pond whose growth is described by the logistic equation. It is estimated that the carrying capacity for the pond is 1200 fish. Absent constraints, the population would grow by 210% per year. If the starting population is given by p0=400p0=400, then after one breeding season the population of the pond is given by p1p1 = After two breeding seasons the population of the pond is given by p2p2 =

10. 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 2.2. In 1983, about 2000 people in the U.S. died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2006?

11. 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 2016?

12. Consider a population that grows according to the recursive rule Pn=Pn1+110Pn=Pn-1+110, with initial population P0=40P0=40. Then: P1P1 = P2P2 = Find an explicit formula for the population. Your formula should involve nn (use lowercase n) Pn=Pn= Use your explicit formula to find P100P100 P100P100 =

13. A city currently has 124 streetlights. As part of a urban renewal program, the city council has decided to install 3 additional streetlights at the end of each week for the next 52 weeks. How many streetlights will the city have at the end of 40 weeks?

14. A population grows according to an exponential growth model. The initial population is P0=18P0=18, and the common ratio is r=1.2r=1.2. Then: P1P1 = P2P2 = Find an explicit formula for PnPn. Your formula should involve nn. PnPn = Use your formula to find P11P11 P11P11 =