Question

Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. y=0.99^t

Exponential growth and decay
ANSWERED
asked 2021-06-19
Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. \(\displaystyle{y}={0.99}^{{t}}\)

Answers (1)

2021-06-20

We are given the function: \(\displaystyle{y}={0.99}^{{t}}\)
The fuction is of the form \(y=a(1-r)^t,\) where \(1-r<1\), so it represents exponential decay. We determine the rate of decay: \(1-r=0.99\)
\(r=1-0.99\)
\(r=0.01\)

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