Question

# State whether the equation represents exponential growth, exponential decay, or neither. y=0.9^x

Exponential growth and decay
State whether the equation represents exponential growth, exponential decay, or neither. $$y=0.9^x$$
The exponential function: $$\displaystyle{y}={a}\cdot{b}^{{x}}$$ is an exponential growth if $$b>1$$ or is an exponential decay if 0 Here, $$b=0.9$$ so it is an exponential decay.