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A colony of bacteria initially has 500 individuals. After one hour, the population grew to 1000...

A colony of bacteria initially has 500 individuals. After one hour, the population grew to 1000 individuals. Assuming the growth rate of bacteria is proportional to the population, determine the following: (a) Determine an expression for the growth of bacteria as a function of time. (b) Determine the population at 5.5 hours. (c) Determine the rate of population growth at 5.5 hours.

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