Question

The population of a particular city is given by the function P(t) = 173,200(1.035)t, where t is time in years and P(t) is the population after t years. What is the current population, the percentage growth rate, and the population size (rounded to the nearest whole person) after 25 years?

Answer 1

The current population is at t = 0
so it = 173,200(1.035)^0 = 173,200

% growth = 0.035 * 100 = 3.5%

Popluation after 25 years = 173200*1.035)^25 = 409,314