Model Exponential Growth and Decay
Solve.
-The population of a certain country is growing at a rate of $2.6 \%$ per year. How long will it take for this country's population to double? Use the formula $t = \frac { \ln 2 } { k }$, which gives the time, $t$, for a population with growth rate k, to double. (Round to the nearest whole year.)
A) 27 years
B) 28 years
C) 29 years
D) 26 years

Question

Quizplus · Accepted Answer

Using the formula $t = \frac{\ln 2}{k}$, where $k = 0.026$, we calculate $t = \frac{\ln 2}{0.026} \approx 26.66$. Rounding to the nearest whole year gives 27 years.

Model Exponential Growth and Decay Solve 2.6%2.6 \%2.6% Per Year How Long Will It Take for This Country's Population

Model Exponential Growth and Decay
Solve $2.6 \%$ Per Year How Long Will It Take for This Country's Population