Problema Solution

In 5 years, the population of Mathville grew from 14,700 to 20,030. What was the 5 year growth factor? What was the 5 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 = 14,700

t = 5 years

r = ?


20030 = 14700*r^5


r^5 = 20030/14700


r = 1.064


the 5 year growth factor is 1.064.


the percent growth rate PR in 5 years is calculated by the formula


PR = ((p - C)/C)*100*(1/5)


PR = ((20030 - 14700)/14700)*100*(1/5)


PR = (5330/14700)*100*(1/5)


PR = %36.26*(1/5)


PR = 7.2517%


The population of Mathville grew %36.26 in the 5 years or at an rate of 7.2517% annually.