Question

The fox population in a certain region has a relative growth rate of 5 percent per year. It is estimated that

the population in the year 2000 was 29100.
a) Find a function that models the population t years after 2000 (t = 0 for 2000).
P(t)
b) Use the function from part (a) to estimate the fox population in the year 2008. Round to the
nearest fox.
foxes

Answer 1

A: P(t)=29100e^(.05t)

B: ≈43412

Explanation:

A: The formula A=Pe^(rt) can be used. Initial value of 29100, e is the exponential constant, the rate is 5% which can be seen as 5/100, and t=time

B: Use the equation you created and substitute 8 for t since the years of difference between 2008-2000 is 8 years

29100e^(.05(8)) ≈ 43412.0987014

Rounded to the nearest fox is ≈43412

Answer 2

Use the function from part a to estimate the fox population in the year 2006.round to the nearest fox