The current student population of Tucson is 1600. If the population increases at a rate of 18.3% each year. What will the student population be in 6 years?

Question

The current student population of Tucson is 1600. If the population increases at a rate of 18.3% each year. What will the student population be in 6 years?

Write an exponential growth model for the future population P(x) where x is in years:

         =   

What will the population be in 6 years? (Round to nearest student) 

Answer 1

P(x)=A*e^rx

Where A is the original amount, r is the rate, and x is the time.

A=1600 people, r=0.183 growth rate (convert the percent to decimal form), and x=6 years

P(6)=1600*(e^0183*6) or 4,797 people