Determine whether the function represents exponential growth or exponential decay. Then identify the percent rate of change. y=5(0.6)^t

Haven

Haven

Answered question

2020-12-05

Determine whether the function represents exponential growth or exponential decay. Then identify the percent rate of change. y=5(0.6)t

Answer & Explanation

Caren

Caren

Skilled2020-12-06Added 96 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 0.6(< 1) and thus the function represents exponential decay.
The percentage rate of change is the (positive) difference between 100% and the base:
|100%0.6|=|100%60%|=40%

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