three part question

Question

The fox population in a certain region has a continuous growth rate of 7 percent per year. It is estimated that the population in the year 2000 was 21900.(a) Find a function that models the population  years after 2000 ( for 2000).Hint: Use an exponential function with base .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

the continuous growth formula is. P(t) = ae^rt. where r = 0.07, P(0) = 21900 when t = 0

We have to find a and then t

P(0) = 21900 = ae^0.07(0) = a. since e⁰ = 1

then P(t) = 21900 e^0.07t

So P(8) = 21900 e^0.07(8). = 38,339 foxes