Question

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)

Answer 1

Answer:

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