CLEP Precalculus covers essential mathematical concepts and skills necessary for success in calculus and higher-level mathematics.
Exponential functions are powerful tools for modeling how populations grow over time. With just a starting value and a growth rate, you can predict future sizes of animal groups, cities, or even viral trends!
Use \( P(t) = P_0 \cdot r^t \) where \( P_0 \) is the starting population, \( r \) is the growth factor, and \( t \) is time.
Biologists forecast animal populations, city planners estimate future housing needs, and businesses project customer numbers using these models.
A bacteria population doubles every hour: \( P(t) = 100 \cdot 2^t \).
Estimating the number of people in a city 10 years from now.