Question

1. Write the exponential function that models the following situations:
a. A population of size 54 is increasing by 3.5% every year.
b. A population of 8 rabbits is tripling every 3 years.
c. In 1998 a town had a population of 1800 but by 2005 the population had reduced to 1650.   

2. Using your function from part b above predict the following:
a. How many rabbits will there be after 5 years?
b. In what year will the rabbit population reach a size of 80?

3. Using your function from part c in number 1 what is the annual percentage growth rate for the population?

4. Suppose that $1850 is deposited into an account paying 1.5% annual interest.
a. How much money will be in the account after 25 years?
b. How many years will it take for the money in the account to grow to $10000?