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.
(c) What is the population after 5 days?
(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.