Question

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. ____________   

Answer 1