Solve.
-The rabbit population in a forest area grows at the rate of 8% monthly. If there are 260 rabbits in September, find how many rabbits (rounded to the nearest whole number) should be expected by next September. Use the
Function f(x) $$f ( x ) = 260 ( 2.7 ) ^ { 0.08 t }$$
A) 688 rabbits
B) 662 rabbits
C) 674 rabbits
D) 675 rabbits

Question

Quizplus · Accepted Answer

The given function for the rabbit population growth is $f(x) = 260(2.7)^{0.08t}$, where $t$ is the time in months. To find the population by next September, which is 12 months later, we substitute $t = 12$ into the function: $f(12) = 260(2.7)^{0.08 \times 12}$. Simplifying this gives $f(12) = 260(2.7)^{0.96}$. Calculating this value gives approximately 675 rabbits, rounding to the nearest whole number.

Solve -The Rabbit Population in a Forest Area Grows at the Rate

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-The Rabbit Population in a Forest Area Grows at the Rate