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A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 240. (a) Find an expression for the number of bacteria after
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A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 240. (a) Find an expression for the number of bacteria after t hours. P(t)

User Khalid Usman
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1 Answer

5 votes

Answer:

P(t) = 100e^[(ln2.4/lne)t]

or

P(t) = 100e^0.87546t

Explanation:

see attached picture

A bacteria culture initially contains 100 cells and grows at a rate proportional to-example-1
User Qrush
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