Under certain conditions, Escherichia coli bacteria grow at a continuous hourly rate of about 20%.
a. If a colony of these bacteria contains 1000 bacteria at 8 AM, find a function E(t) that gives the number of bacteria as a function of the time.
b. How long will it take the colony to grow to 5000 bacteria? Give your answer in hours and minutes, correct to the nearest minute.
c. How many bacteria will be present in at 2 PM? Round your answer to the nearest whole number of bacteria.
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