After years of overhunting, environmental scientists have reintroduced beavers to Yellowstone National Park. The initial number of beavers reintroduced to the park was 80 and, after 9 years, the population is estimated to be around 330.

Part A: Assuming an exponential growth pattern, use the information given to write the model for this situation.

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.

Part B: Use the formula from part A to determine the annual growth rate (rounded to the nearest tenth of a percent) of the new beaver population in Yellowstone National Park. Show your work.