Question

A certain species of fish has been declining in population by 7% per year. That means its rate of decay is 0.93. The population at time zero is 500,000.

What is the initial population?

Answer 1

0.93 ×500,000 is the I initiall population

Answer 2

The initial population would be 500,000.

Explanation:

Let P be the initial population that is declining in population by 7% per year,

So, the population after t years is,

`A=P(1-(7)/(100))^t`

`=P(1-0.07)^t`

`=P(0.93)^t`

Since, if t = 0,

The population would be,

`A=P(0.93)^0=P`

According to the question,

A = 500,000

Hence, the initial population would be 500,000.