Question

# Identify the function as exponential growth or exponential decay.Then identify the growth or decay factor. y=0.15(3/2)^x

Exponential growth and decay
$$\displaystyle{y}={0.15}{\left(\frac{{3}}{{2}}\right)}^{{x}}$$
Consider the exponential function $$\displaystyle{y}={a}\cdot{b}^{{x}}$$ it is an exponential growth if b>1 and exponential decay if 0 It is given that $$\displaystyle{y}={0.15}{\left(\frac{{3}}{{2}}\right)}^{{x}}$$
Since $$\displaystyle{b}=\frac{{3}}{{2}}{>}{1}$$, the given function represents an exponential growth.