Solve the problem.
-The rabbit population in a forest area grows at the rate of 7% monthly. If there are 270 rabbits in September, find how many rabbits (rounded to the nearest whole number) should be expected by next September. Use $$y = 270 ( 2.7 ) ^ { 0.07 t }$$
A) 635
B) 609
C) 622
D) 612

Question

Quizplus · Accepted Answer

The formula given is for exponential growth, where y is the final amount, 270 is the initial amount, 2.7 is the growth factor (1 + 0.07), and t is the time in months.To find the number of rabbits by next September, we need to find y when t = 12 (since there are 12 months between September and the following September).Plugging in the values, we get:y = 270 ( 2.7 ) ^ { 0.07 * 12 }y = 270 ( 2.7 ) ^ { 0.84 }y = 270 ( 2.31 )y = 622.2Rounding to the nearest whole number, we get 622.

Solve the Problem y=270(2.7)0.07ty = 270 ( 2.7 ) ^ { 0.07 t }y=270(2.7)0.07t

Solve the Problem $y = 270 ( 2.7 ) ^ { 0.07 t }$