Solve the problem.
-The rabbit population in a forest area grows at the rate of $5 \%$ monthly. If there are 150 rabbits in September, find how many rabbits (rounded to the nearest whole number) should be expected by next September. Use $y = 150 ( 2.7 ) ^ { 0.05 t }$.
A) 259
B) 272
C) 243
D) 285

Question

Quizplus · Accepted Answer

The given formula for the rabbit population growth is $y = 150(2.7)^{0.05t}$, where $t$ is the time in months. To find the population after one year (12 months), substitute $t = 12$ into the formula: $y = 150(2.7)^{0.05 \times 12}$. Simplifying this gives $y = 150(2.7)^{0.6}$. Calculating this value gives approximately 272 rabbits. Therefore, by next September, the rabbit population is expected to be around 272, rounded to the nearest whole number.

Solve the Problem 5%5 \%5% Monthly If There Are 150 Rabbits in September, Find How

Solve the Problem $5 \%$ Monthly If There Are 150 Rabbits in September, Find How