The fox population in a certain region has a continuous growth rate of 4 percent per year. It is estimated that the population in the year 2000 was 15600.

(a) Find a function that models the population t years after 2000 ( t=0 for 2000).
Hint: Use an exponential function with base e.
Your answer is P(t)=

(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)