Question

A town has a population of 3000 people at time t=0. In each of the following cases, write a formula for the population, p, of the town as a function of year t.
Write a formula for he population increases by 9% a year. P=?

Answer 1

increase by 9% means itself(100%) plus 9%=109%

Answer 2

p=3000x(109/100)^time

Answer 3

in general
\[P_{t} = P_{0}(1+r)^{t}\]

Answer 4

where time=1,2,3.......