A town has a population of 14000 and grows at 3.5% every year. What will be the population after 14 years, to the nearest whole number?

Answer 1

Hi Holly,

exponential growth is when from one time to next the division o9f amount results in a constant above 1. The problem is telling you that number is 1.035. The equation for population is p(t)=(14000)*(1.035)^t where t starts at zero is the nu8mber of years. so p(14)=(14000)*(1.035)¹⁴=22662

note 1.035¹⁴=1.6187, 3.5% growth over 14 years = 61.87% growth