Determine whether the function represents exponential growth or exponential decay. Then identify the percent rate of change. y=10(1.07)^t

Khadija Wells

Khadija Wells

Answered question

2021-02-24

Determine whether the function represents exponential growth or exponential decay. Then identify the percent rate of change. y=10(1.07)t

Answer & Explanation

faldduE

faldduE

Skilled2021-02-25Added 109 answers

If the base of the exponential function is smaller than 1, then the function represents exponential decay. If the base is greater than 1, then the function represents exponential growth.
For this function we note that the base is 1.07(> 1) and thus the function represents exponential growth.
The percentage rate of change is the (positive) difference between 100% and the base:
|100%1.07|=|100%107%|=|7%|=7%

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