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A bacterial colony initially has 800 individuals. Within an hour the population grew to 6,400 individuals....

A bacterial colony initially has 800 individuals. Within an hour the population grew to 6,400 individuals. Assuming that the growth rate of bacteria is proportional to the population, determine the following:
1- Determine an expression for the growth of bacteria as a function of time.
2- Determine the population at 2.5 hours.
3- Determine the population growth rate at 2.5 hours.

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