Question 330755: Given a starting population of 100 bacteria, the
formula b = 100(2t ) can be used to find the number
of bacteria, b, after t periods of time. If each period
is 15 minutes long, how many minutes will it take
for the population of bacteria to reach 51,200?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Given a starting population of 100 bacteria, the
formula b = 100(2^t ) can be used to find the number
of bacteria, b, after t periods of time. If each period
is 15 minutes long, how many minutes will it take
for the population of bacteria to reach 51,200?
-------------------------
Solve 51,200 = 100*2^(t/15)
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2^(t/15) = 512
Take the log to get:
(t/15)*log(2) = log(512)
t/15 = 9
time = 15*9 = 2 hrs and 15 minutes
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Cheers,
Stan H.
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