Question

The fox population in a certain region has an annual growth rate of 6 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).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)

Answer 1

The function that models the fox population growth is P(t) = 29100 * (1 + 0.06)^t.

Step-by-step explanation:

To find a function that models the population growth, we can use the formula for exponential growth: P(t) = P0 * (1 + r)t, where P(t) is the population after t years, P0 is the initial population, r is the growth rate as a decimal, and t is the number of years after the initial population.

Given that the fox population has an annual growth rate of 6% per year, the growth rate as a decimal is 0.06. The initial population in the year 2000 was 29100. Therefore, the function that models the population t years after 2000 is:

P(t) = 29100 * (1 + 0.06)t

Learn more about Exponential growth