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On the basis of data collected during an experiment, a biologist found that the growth of a fruit fly (Drisophila) with a limited food supply could be approximated by the exponential model below where t denotes the number of days since the beginning of the experiment.


(a) What was the initial fruit fly population in the experiment?

(b) What was the maximum fruit fly population that could be expected under this laboratory condition?

(c) What was the population of the fruit fly colony on the 14th day?

(d) How fast was the population changing on the 14th day?

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