Question 490773: a culture started with 5000 bacteria. after 4 hours it grew to 5500.predict how many bacteria will be after 13 hours. Answer by stanbon(75887) (Show Source):
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A culture started with 5000 bacteria. After 4 hours it grew to 5500.
A(t) = Ao*b^t
5500 = 5000*b^4
1.1 = b^4
b = 1.1^(1/4)
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Equation:
A(t) = 5000*1.1^(t/4)
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Predict how many bacteria will be after 13 hours.
A(13) =5000*1.1^(13/4)
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A(13) = 6815.48
Round up to 6816 bacteria
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Cheers,
Stan H.
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