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?

Question

Stitch

Mathematics

21 December, 14:49

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?

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Lauren Powers · 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