SOLUTION: A biologist finds that the population of a certain type of bacteria doubles each half-hour. An initial culture has 90 bacteria.
How long will it take for the number of bacteria to
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How long will it take for the number of bacteria to
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Question 387822: A biologist finds that the population of a certain type of bacteria doubles each half-hour. An initial culture has 90 bacteria.
How long will it take for the number of bacteria to reach 368,640? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A biologist finds that the population of a certain type of bacteria doubles each half-hour. An initial culture has 90 bacteria.
How long will it take for the number of bacteria to reach 368,640?
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A(t) = Ao*2^(2t)
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368640 = 90*2^(2t)
4096 = 2^(2t)
(2t)ln(2) = ln(4096)
2t = ln(4096)/ln(2)
2t = 12
t = 6 hours
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Cheers,
Stan H.
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