Question

Suppose that love is stocked with 525 fish, and blologists predict that the population of these fish will be approximated by the function PO - 5251n(21 + e), where!is measured in years. What will be the fish population in 18 years? Round your answer to the nearest whole numberAnswerto enter your answer tonens in new windowKeypadKeboard Shortcuts

Answer 1

It is given that the population of the fish over time is approximated by the function:

`P(t)=525\ln(2t+e)`

It is required to find the approximate population of the fish in 18 years.

To do this, substitute t=18 into the function:

`P(18)=525\ln(2\cdot18+e)=525\ln(36+e)`

Evaluate and round to the nearest whole number as required:

`P(18)=525\ln(36+e)\approx1920`

Hence, the fish population will be about 1920 in 18 years.