Question

The number of student athletes at a local high school is 300 and is increasing at a rate of 8% per year.Write an exponential growth function to model this situation.Then,find the number of student athletes after 5 years.


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Answer 1

$y = a {(1 + r)}^{t}$

a = initial amount = 300

r = rate = 8%

t = time = 5

**r = 8% = 8÷100 = 0.08

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$y = a{(1 + r)}^{t} \\ y = 300(1 + 0.08) ^{5} \\ y = 300 {(1.08)}^{5} \\ y = 300(1.46932807) \\ y = 440.7 \\ y = 441 \: student$

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