Chapter 11.5, Problem 125E

To determine

To prove: The percentage rate of change of the function $A\left(t\right)$ is constant when $A\left(t\right)$ represents a function that is growing exponentially and the fractional rate of a function $f\left(x\right)$ is the ratio $\frac{f^{\prime }\left(x\right)}{f\left(x\right)}$.