Edward C. answered • 11/17/15

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The formula for exponential growth is f(t) = Ae

^{kt}Since the population started at 8000 at t = 0 we have A = 8000 (since e

^{0}= 1)Now use the given information (that the population was 15000 in 8 years) to figure out what k is equal to

f(8) = 15000 = 8000e

^{k(8)}15/8 = e

^{8k}ln(15/8) = 8k

8k = 0.628608659

k = 0.078576082

Now use this value of k to evaluate f when t = 10 in an additional 2 years

f(10) = 8000e

^{10}^{(0.078576082)}~ 17553^{}