Question

After years of overhunting, environmental scientists have reintroduced wolverines to Yellowstone National Park. The initial number of wolverines reintroduced to the park was 88 and, after 5 years, the population is estimated to be around 578. Assuming an exponential growth pattern, what is the annual growth rate (rounded to the nearest tenth of a percent) of the new wolverine population in Yellowstone National Park?

Hint: A(t) = A0(1 + r)t, where A(t) is the final amount, A0 is the initial amount, r is the growth rate expressed as a decimal amount, and t is time.

Answer 1

@TheSmartOne

Answer 2

Welcome to Question Cove

Answer 3

What is your initial and final amounts?

Answer 4

intial amount was 88 and final amount was
578

Answer 5

Good, and how much time has passed?

Answer 6

Since we want the annual rate, we want time in years

Answer 7

5 years

Answer 8

Good, now just plug it in and solve for r
578 = 88 *(1+r)^5

Answer 9

You can first divide by 88, and then do a 5th root on both sides. Basically ^(1/5) to remove the^5