Exponential growth

Question

The fox population in a certain region has a relative growth rate of 4 percent per year. It is estimated that the population in the year 2000 was 8800. (a) Find a function that models the population  years after 2000 ( for 2000). Your answer is  

 (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer must be an integer) 

Answer 1

(a)

t = years elapsed since 2000

P(t) = 8800 (1.04)^t

(b)

t = 2008 - 2000 = 8

Plug this value into P(t) from part (a) and evaluate.