Question

The native bird population in a city is decreasing at a rate of 10% per year. After 1 year, the population of native birds is 14,000.Complete the recursively-defined function to describe this situation.f(1) == f(n − 1).forn > 2After 4 years,birds will remain.

Answer 1

After 4 years, 10206 birds will remain

Explanation:

The native bird population in a city is decreasing at a rate of 10% per year.

This means that f(n) = 0.9*f(n-1)

After 4 years:

We want to find f(4).

We have that f(1) = 14000. So

f(2) = 0.9*f(1) = 0.9*14000 = 12600

f(3) = 0.9*f(2) = 0.9*12600 = 11340

f(4) = 0.9*f(3) = 0.9*11340 = 10206

After 4 years, 10206 birds will remain