Question

A town has a population of 20000 and grows at 4% every year. What will be the population after 6 years, to the nearest whole number?

Answer 1

The growth of a population can be regarded as an exponential growth:

$P(n)=P_0 (1+r)^n$

$P(n) -$ the population after n years

$P_0 -$ initial population

$r -$ rate of grow

$n-$ time

$P_0=20000$

$r=0.04$

$n=6$

$P(n)=20000*(1+0.04)^6=20000*(1.04)^6=20000*1.265=25306$

Answer: the population after 6 years is 25306.