Question

In the year 2005, a total of 750 fish were introduced into a man made lake. The fish population was expected to grow at a rate of 8.3% each year. What will the fish population be in 2050?

Answer 1

27123

Explanation:

took the test and got it correct

Answer 2

In 2050 fish population is 27000

Explanation:

Exponential change can be modeled by,

`F=F(0)+x^(n)`

Where
`F(0)` is the initial value of 750,
`x` is the rate of change. It is greater then 1 when there is growth and less then 1 when there is decay. and
`n` is the number of time periods.

The rate of change in percentage is 8.3%

That means, after 1 year fish will become 108.3 for 100 fish.

Then
`x=(108.3)/(100)`

`x=1.083`

Difference of years is,
`n=2050-2005=45`

Then,
`F=750+`
`1.083^(45)`

`F=27000`

So, the fish population in 2050 is 27000