Solve the problem.
-The size of the bear population at a national park increases at the rate of $4.6 \%$ per year. If the size of the current population is 157 , find how many bears there should be in 6 years. Use the function $f ( x ) = 157 e ^ { 0.046 t }$ and round to the nearest whole number.
A) 207
B) 209
C) 205
D) 211

Question

Quizplus · Accepted Answer

The formula for exponential growth is $f(t) = P_0 e^{rt}$, where $P_0$ is the initial amount, $r$ is the rate of growth, and $t$ is time. Plugging in the given values, $f(6) = 157e^{0.046 \times 6}$. Calculating this gives a value close to 207, hence rounding to the nearest whole number gives 207 bears.

Solve the Problem 4.6%4.6 \%4.6% Per Year If the Size of the Current Population Is 157

Solve the Problem $4.6 \%$ Per Year If the Size of the Current Population Is 157