Question

A certain species of fish has been declining in population by 7% per year. That means its rate of decay is 0.93. What is the fish population in year 4 if the initial population was 500,000?

Answer 1

`374026`

Explanation:

This can be expressed as an exponential function in the form

`f(x)=a(b^x)`,

where `a` is the original amount, `b` is the rate of decay, and `x` is years elapsed. The function, when factoring in the information given in the question, is

`f(x)=500000(0.93^x)`

`f(4)` will give the population after four years have passed.

`f(4)=500000(0.93^4)approx374026`