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 modeled by
230
F = ------------------.
1 + 56.5e-0.37t
a. Determine the initial population of fruit flies. ____________
b. After how many days will the fruit fly population reach 100? ____________
c. What is the maximum number of fruit flies supportable in this situation? ____________
d. Find dF/dt. ____________
e. Use your answer from part d to estimate what the rate of change in the number of fruit flies after 10 days.
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