Question

The number of fish in a lake is decreasing by 400 every year, as described by the function below.

Answer 1

Using the recursive function given, it is found that f(5) = 6600.

The function given is:

$f(n + 1) = f(n) - 400$

$f(1) = 8200$

To find f(5), we keep applying the function until $n + 1 = 5$, hence:

f(2) is f(1) subtracted by 400

$f(2) = f(1) - 400 = 8200 - 400 = 7800$

f(3) is f(2) subtracted by 400

$f(3) = f(2) - 400 = 7800 - 400 = 7400$

f(4) is f(3) subtracted by 400

$f(4) = f(3) - 400 = 7400 - 400 = 7000$

f(5) is f(4) subtracted by 400

$f(5) = f(4) - 400 = 7000 - 400 = 6600$

Hence, the result is f(5) = 6600.

A similar problem is given at brainly.com/question/21245344