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.