Determining initial population maximum population of fruit

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Reference no: EM13357334

Determining initial population, maximum population of fruit flies placed in a half pint milk bottle - word problem

Fruit flies are placed in a half-pint milk bottle with a banana (for food) and yeast plants (for food and to provide a stimulus to lay eggs). Suppose that the fruit fly population after t days is given by

P(t) = 230 / ( 1 + 56.5e^-0.37t)

(a) Determine the initial population

(b) Determine the maximum population.

(d) How long does it take for population to reach 180? Give exact answer and evaluate exact answer to 2 decimal places.

(e) Extra credit: Graph P(t). Be sure to show asymptotic behavior.

Reference no: EM13357334

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