Word Problem help

Question

A population is 25,000 in year t = 0 and grows at a continuous rate of 7.5% per year. Find a formula for P(t), the population in year t

Answer 1

Hi! If something grows at a given rate r per year, the population is proportional to (1.0 + r) raised to the power t, with t the number of years. For an initial population of 25000, and a rate of 7.5% per year, the formula is: P(t) = 25000(1.075)^t