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 22200. (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.

Cory Russell

Cory Russell

Answered question

2022-10-25

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 22200.
(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.

Answer & Explanation

ipa1rafd

ipa1rafd

Beginner2022-10-26Added 11 answers

Continuis growth rate equation
p ( t ) = p 0 e r t r = 7 % = 7 100 = 0.07 p 0 = 22200
a) p ( t ) = ( 22200 ) e 0.07 t
or
22200 e 0.07 e t 23809.682 e t
b ) 2008 t = 8 p ( t = 8 ) = ( 22200 ) e 0.07 × 8 = 38864 , 9295 38865

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?