Solve the problem.
-The size of the beaver population at a national park increases at the rate of $4.7 \%$ per year. If the size of the current population is 131 , find how many beavers there should be in 3 years. Use $\mathrm { y } = \mathrm { y } _ { \mathrm { o } } \mathrm { e } ^ { 0.047 \mathrm { t } }$ and round to the nearest whole number.
A) 151
B) 153
C) 149
D) 155

Question

Quizplus · Accepted Answer

Using the given formula $y = y_0 e^{0.047t}$, where $y_0 = 131$, $t = 3$, and $e$ is the base of the natural logarithm, we calculate the population after 3 years. Substituting the values, we get $y = 131e^{0.047 \times 3}$. Calculating this gives a value close to 151, hence rounding to the nearest whole number gives 151 beavers.

Solve the Problem 4.7%4.7 \%4.7% Per Year If the Size of the Current Population Is 131

Solve the Problem $4.7 \%$ Per Year If the Size of the Current Population Is 131