Question

Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. f(t)=6(0.84)^t

Exponential growth and decay
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asked 2021-07-05

Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. \(f(t)=6(0.84)^t\)

Answers (1)

2021-07-06

We are given the function: \(\displaystyle{f{{\left({t}\right)}}}={6}{\left({0.84}\right)}^{{t}}\)
The function is of the form \(\displaystyle{y}={a}{\left({1}-{r}\right)}^{{t}}\), where \(1-r<1\), so it represents exponential decay.
We determine the rate of decay: \(1-r=0.84\)
\(r=1-0.84\)
\(r=0.16\)

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