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A bacteria culture initially contains 50 cells and grows at a rate proportional to its size. After an hour the population has increased to 100.

A bacteria culture initially contains50 cells and grows at a rate proportional to its size. After an hour the population has increased to100.

a)Find an expression for the numberP(t)of bacteria aftert hours.

b)Find the number of bacteria after5 hours.

c)Find the rate of growth after5hours.

d)When will the population reach5000?

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