Question

A town has a population of 19000 and grows at 4.5% every year. To the nearest year, how long will it be until the population will reach 51600? (Please help!)

Answer 1

If the population grows by 4% each year then

the population in any given year is 104% of

the previous year or 1.04 times as much

P(t) = P0(1.04)t

P(t) is population at time t years

P0 = initial population = 11,000

t = number of years = 15