# Identify each of the following functions as exponential growth or decay. Then give the rate of growth or decay as a percent. y=a(3/2)^t

Exponential growth and decay
Identify each of the following functions as exponential growth or decay. Then give the rate of growth or decay as a percent. $$\displaystyle{y}={a}{\left(\frac{{3}}{{2}}\right)}^{{t}}$$

2021-01-18
$$\displaystyle{y}={a}{\left(\frac{{3}}{{2}}\right)}^{{t}}$$
This is a growth function
Rate of decay is 1.5-1=0.5
That is 50%
Consider an exponential function of the form: $$\displaystyle{y}={b}\cdot{a}^{{x}}$$
If a>1, then it is exponential growth function with growth rate a-1
If a<1, then it is exponential decay function with decay rate 1-a