The fox population in a certain region has a continuous growth rate of 6 percent per year. It is estimated that the population in the year 2000 was 25100.

(a) Find a function that models the population
t
years after 2000 (
t
=
0
for 2000).
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)