Monday, November 16, 2009

Bacteria Growth Word Problem?

The number N of bacteria present in a culture at time t (in hours) obeys the function N(t) = 1000e^(0.01t).





(a) Find the number of bacteria at t = 0.





(b) What is the growth rate of the bacteria?

Bacteria Growth Word Problem?
(a) Substitute t = 0 into the equation and you get 1000e^0 = 1000


(b)


When t = 1, N = 1010


When t = 2, N = 1020


When t = 3, N = 1030


We can see that it increases by 10 bacteria per hour.
Reply:1)1000


b)0.01 bacteria /hour


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