QUESTION 4 A bacteria culture starts with 100 bacteria and grows according to a logistic growth model. The population grows at a rate proportional to both the current population and the remaining capacity in the environment, which is 500 bacteria. After 5 hours, the population has grown to 200 bacteria. a. Write the differential equation governing

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QUESTION 4 A bacteria culture starts with 100 bacteria and grows according to a logistic growth model. The population grows at a rate proportional to both the current population and the remaining capacity in the environment, which is 500 bacteria. After 5 hours, the population has grown to 200 bacteria. a. Write the differential equation governing the growth process. b. Find the growth rate constant k . c. Predict the population of the bacteria after 10 hours.

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