Problema Solution

In 7 years, the population of Mathville grew from 16,700 to 20,030. What was the 7 year growth factor? What was the 7 year growth rate (as a percent).

Answer provided by our tutors

population growth can be modeled using the formula


p=cr^t, where C is the initial population, r is the growth factor, and t is time in years


p = 20,030

C = 16,700

t = 7 years

r = ?


20030 = 16700*r^7


r^7 = 20030/16700


r = 1.026


the 7 year growth factor is 1.026.


the percent growth rate PR in 7 years is calculated by the formula


PR = ((p - C)/C)*100*(1/7)


PR = ((20030 - 16700)/16700)*100*(1/7)


PR = (3330/16700)*100*(1/7)


PR = %19.94(1/7)


PR = 2.8486%


The population of Mathville grew %19.94 in the 5 years or at rate of 2.8486% annually.