Writing Exponential Growth/Decay Equations

Below, you can practice writing equations for word problems that represent various types of exponential growth.

Use the following equations, where

• $A=$ the new amount
• $P=$ the original amount
• $r=$ the rate of growth as a decimal (not a percent)
• $t=$ time of growth
• $n=$ the number of times the growth is compounded over one period
• $e=$ Euler's constant

EXPONENTIAL GROWTH FORMULAS

• General Growth: $A(t)=P(1+r{)}^t$
• Compound Growth: $A(t)=P(1+\frac{r}{n}{)}^{nt}$
• Continuous Growth: $A(t)=P{e}^{rt}$

$A(t)=$