Question 198039: A bacteria culture grows continuously from 150,000 to 350,000 bacteria in 6 hours. At this rate, how long will it take for the population to grow from 150,000 to 1,000,000 bacteria?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A bacteria culture grows continuously from 150,000 to 350,000 bacteria in 6 hours. At this rate, how long will it take for the population to grow from 150,000 to 1,000,000 bacteria?
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Equation Form: y = ab^t
You need to find "a" and "b"
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Eq: 350,000 = 150,000b^6
b^6 = [350/150]
b = 1.1517
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how long will it take for the population to grow from 150,000 to 1,000,000 bacteria?
1,000,000 = 150,000(1.1517)^t
1.1517^t = 6.66666667
Take the log to get:
t = [log(6.6666667)]/[log(1.1517)]
t = 13.43 years
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Cheers,
Stan H.
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