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?

Respuesta :

Answer:

In 2050 fish population is 27000

Step-by-step explanation:

Exponential change can be modeled by,

[tex]F=F(0)+x^{n}[/tex]

Where [tex]F(0)[/tex] is the initial value of 750, [tex]x[/tex] is the rate of change. It is greater then 1 when there is growth and less then 1 when there is decay. and [tex]n[/tex] 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 [tex]x=\frac{108.3}{100}[/tex]

[tex]x=1.083[/tex]

Difference of years is, [tex]n=2050-2005=45[/tex]

Then, [tex]F=750+[/tex][tex]1.083^{45}[/tex]

[tex]F=27000[/tex]

So, the fish population in 2050 is 27000

Answer:

27123

Step-by-step explanation:

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