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)

Question

Mathematics

Darion Norris

31 January, 01:15

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)

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Amari Holden · Answer 1

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

Step-by-step 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