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The population of retired citizens in Memphis is 54000. If the population decreases at a rate of 5.9 % each year. What will the population of retirees be in 6 years?Write an exponential growth model for the future population P(x) where x is in years:

Sagot :

We will have the following:

First, we construct the exponential decay function, that is:

[tex]P(x)=54000(1-0.059)^x\Rightarrow P(x)=54000(0.941)^x[/tex]

Now, we will determine the population after 6 years:

[tex]P(6)=54000(0.941)^6\Rightarrow P(6)=37491.38638[/tex]

So, the population after 6 years will be of approximately 37491 people-

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