Use the given growth rate to find the approximate doubling time and to predict the population in 50 years of a growingsuburban town (based on a current population of 100,000).
-Use the average growth rate between 1850 and 1950, which was about 2.6%.
A) 27 years; population in 50 years $= 362,289$
B) 37 years; population in 50 years $= 280,056$
C) 29 years; population in 50 years $= 468,670$
D) 22 years; population in 50 years $= 216,488$

Question

Use the given growth rate to find the approximate doubling time and to predict the population in 50 years of a growingsuburban town (based on a current population of 100,000).
-Use the average growth rate between 1850 and 1950, which was about 2.6%. 
A) 27 years; population in 50 years $= 362,289$
B) 37 years; population in 50 years $= 280,056$
C) 29 years; population in 50 years $= 468,670$
D) 22 years; population in 50 years $= 216,488$

Quizplus · Accepted Answer

The doubling time can be approximated using the rule of 70, which is $70 / \text{growth rate}$. So, $70 / 2.6 \approx 27$ years. To find the population in 50 years, use the formula $P = P_0(1 + r)^t$, where $P_0 = 100,000$, $r = 0.026$, and $t = 50$. This gives $P \approx 362,289$.

Use the Given Growth Rate to Find the Approximate Doubling =362,289= 362,289=362,289

Use the Given Growth Rate to Find the Approximate Doubling $= 362,289$