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A biologist is conducting an experiment that involves a colony of fruit flies. (Biologists frequently study...

A biologist is conducting an experiment that involves a colony of fruit flies. (Biologists frequently study fruit flies because their short life span allows the experimenters to easily study several generations.) One day, there were 2,410 flies in the colony. Three days later, there were 5,680.

(a) Develop the mathematical model that represents the population p of flies. (Write your model in terms of t, where t is measured in days. Round the coefficient of t to seven decimal places.)
p(t) =



(b) Use the model to predict the population after one week. (Round your answer up to the next whole number.)
flies

(c) Use the model to predict when the population will be double its initial size. (Round your answer to one decimal place.)
days

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Answer #1

Initial population : 2410 flies After 3 days = 5680 flies p/t)- Poert P13) : 5680 Pos P410 t = 3; r(3) 5680 = 2410e 5680 an P

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