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

Answer:

In 2050 fish population is 27000

Step-by-step 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 $x=\frac{108.3}{100}$

$x=1.083$

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

Then, $F=750+$$1.083^{45}$

$F=27000$

So, the fish population in 2050 is 27000