Evaluating Exponential Growth Equations

Evaluating Exponential Growth/Decay Equations

Below, you will be given a word problem situation representing exponential growth. Think of the equation that represents this growth and then evaluate using the given time frame.

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: \(A(t)=Pe^{rt}\)

Result: --

Problem will appear here

\(A(t)=\)