SOLUTION: suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. a sample of 2500 bacteria selected from the population rea

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Question 958835: suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. a sample of 2500 bacteria selected from the population reached the size of 2770 bacteria in 4 hours. find the hourly growth rate parameter
Answer by stanbon(75887) About Me  (Show Source):
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suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. a sample of 2500 bacteria selected from the population reached the size of 2770 bacteria in 4 hours. find the hourly growth rate parameter
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y = a*b^t
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2770 = 2500*b^4
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b^4 = 1.108
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b = 1.2597
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y = 2500*(1.2597)^t
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Growth rate: # of bacteria increases at the rate of 26% per hour
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Cheers,
Stan H.
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