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

Answer:

$P_{1970}=98,41353$

Step-by-step explanation:

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