# 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

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

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: $$1-r=0.84$$
$$r=1-0.84$$
$$r=0.16$$