Question

The Deep Creek State Forest is a 380-acre state forest located 11 miles north of St. Augustine, Florida. The cottontail rabbit population in this forest grows at the rate of 5% monthly. If there are 175 rabbits in forest in September, find how many rabbits should be expected by next September. Use the formula: y=175(2.7)0.05t y = 175 ( 2 . 7 ) 0 . 05 t . Round your answer to the nearest whole number. The cottontail rabbit population next September is expected to be rabbits. (Round your answer to the nearest whole number)

Answer 1

By next September, the estimated population would be 284 cottontail rabbits

Explanation:

The formula that express the growth of the rabbits is

Y = 175(2.7)0.05t

Y = number of rabbits

Where t = time in months.

The growth of the rabbits in 12 months would be. Since from one September to another equal 1 year which is 12 months.

Y = 175(2.7)0.05(12)

Y = 283.5 = 284 rabbits

The estimated population of cottontail rabbits by next September is 284 rabbits