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 9800.

(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)

Question

Angelica Horton

Mathematics

21 January, 17:10

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 9800.

(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)

+2

Answers (1)

Know the Answer?

Mallory Ayala · Answer 1

P (t) = 9800 (1.06) ^t

P (8) = 15620

Step-by-step explanation:

For growth the equation is

y = ab^x where a is the initial value, b = 1 plus the growth percentage, and x is the number of years

P (t) = 9800 (1+.06) ^t

P (t) = 9800 (1.06) ^t

from 2000 to 2008 is 8 years

P (8) = 9800 (1.06) ^8

15619.71113040224768

We can only have whole foxes

P (8) = 15620