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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?

2 Answers

2 votes

Answer:

27123

Explanation:

took the test and got it correct

User Takacsmark
by
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6 votes

Answer:

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

User Sgoldy
by
8.6k points
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