Question

from 1970 to 2010 a towns population grew to 120,1500 the population grew at a rate of about 0.5% each year. What was the town's population in 1970?

Answer 1

`P_(1970)=98,41353`

Explanation:

• If the rate of growth is about 0.5% each year, then the population in 2010 can be obtained following the expression:
  `P_(2010)=P_(1970)*(1+0.005)^(40)`
• If
  `P_(2010)=120,1500`, then, population in 1970 can be obtained by using the last expression as follow:
  `P_(1970)=(P_(2010))/((1.005^(40)))`
• Then
  `P_(1970)=98,41353`