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

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: $$1-r=0.99$$
$$r=1-0.99$$
$$r=0.01$$