Choose the one alternative that best completes the statement or answers the question.
-In the formula N $\mathrm { N } = \mathrm { Ie } ^{\mathrm { kt }}$ , N is the number of items in terms of an initial population I at a given time t and k is a growth constant equal to the percent of growth per unit time. How long will it take for
The population of a certain country to double if its annual growth rate is 6.3%? Round to the nearest
Year.
A) 32 yr
B) 11 yr
C) 1 yr
D) 5 yr

Question

Quizplus · Accepted Answer

To find the time it takes for the population to double, use the formula $ N = Ie^{kt} $. Since the population doubles, $ N = 2I $. The growth rate $ k $ is 0.063 (6.3% as a decimal). Solving $ 2 = e^{0.063t} $ gives $ t \approx 11 $ years.

Choose the One Alternative That Best Completes the Statement or Answers