A culture starts with 8100 bacteria. After one hour the count is 10,000. (a) Fin

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A culture starts with 8100 bacteria. After one hour the count is 10,000.
(a) Find a function that models the number of bacteria n(t) after t hours. (Round your r value to three decimal places.)
n(t) =

(b) Find the number of bacteria after 2 hours. (Round your answer to the nearest hundred.) 

(c) After how many hours will the number of bacteria double? (Round your answer to one decimal place.) 


Jul 15th, 2015

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We need to find the rate constant. The general formula is:

P = A0e^(kt)

100 = 81e^(k*1)

100/81 = e^k

ln(100/81) = k

k = .211

So the equation is

n(t) = 8100*e^(0.211t)

b) n(t) = 8100*e*(.211*2)

n(t) = 8100*e^.422

n(2) = 12352.57


16200 = 8100*e^(0.211t)

ln(2) = 0.211t

t(2x) = ln(2)/0.211 = 3.3 hrs

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Jul 15th, 2015

Jul 15th, 2015
Jul 15th, 2015
Oct 22nd, 2016
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