Solve.
-The size of the coyote population at a national park increases at the rate of $4.9 \%$ per year. If the size of the current population is 123 , find how many coyotes there should be in 7 years. Use $\mathrm { y } = \mathrm { y } _ { 0 } \mathrm { e } ^ { 0.049 t }$ and round to the nearest whole number.
A) 175
B) 171
C) 173
D) 177

Question

Quizplus · Accepted Answer

Using the given formula $y = y_0 e^{0.049t}$, where $y_0 = 123$ (initial population), $t = 7$ years, and the growth rate is $4.9\%$ or $0.049$ in decimal form, we calculate the population after 7 years. Plugging the values into the formula gives $y = 123e^{0.049 \times 7}$. Calculating this yields approximately 173 coyotes, rounding to the nearest whole number.

Solve -The Size of the Coyote Population at a National 4.9%4.9 \%4.9%

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-The Size of the Coyote Population at a National $4.9 \%$