Question

The fox population in a certain region has an annual growth rate of 4 percent per year. It is estimated that

the population in the year 2000 was 12100.
(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 should be an integer)
ASAP PLS

Answer 1

(a) P(t) = 12100*(1.04^t)

(b) in 2008, estimate of population is 16560 (to the nearest integer)

Explanation:

Population in 2000, P(0) = 12100

Growth rate = 4% each year

(a) function model for the t year after 2000 (exponential model)

P(t) = 12100*(1.04^t)

(b) for 2008,

P(2008-2000)

= P(8)

= 12100*(1.04^8)

= 12100 * 1.368569

= 16559.7

= 16560 (nearest integer)