SOLUTION: A bacteria culture starts with 120 bacteria and after three hours the population consists of 200 bacteria. assuming that the culture grows exponentially, find the poplation after 5

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Question 170404: A bacteria culture starts with 120 bacteria and after three hours the population consists of 200 bacteria. assuming that the culture grows exponentially, find the poplation after 5 hours.
Answer by stanbon(57246) About Me  (Show Source):
You can put this solution on YOUR website!
A bacteria culture starts with 120 bacteria and after three hours the population consists of 200 bacteria. assuming that the culture grows exponentially, find the poplation after 5 hours.
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A(t) = ab^t
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200 = 120b^3
b^3 = 200/120 = 5/3
b = 1.047197551....
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Equation:
A(5) = 120(1.047197551)^5
A(5) = 151.12
Rounding down, A(5) = 151
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Cheers,
Stan H.