Posted by **saya** on Sunday, May 6, 2012 at 1:18am.

The bacterium Escherichia coli, or

E-coli, has a doubling period of 0.32 h. If a culture starts with 100 bacteria:

(a) Determine the equation for the number of bacteria, y, in x hours.

b) How many hours will pass before there are 450 bacteria in the culture?

- math 12 -
**~**, Sunday, May 6, 2012 at 6:09am
a) y = 100 * 2^(x/0.32) (intuitively, after 0.32h, it doubles; after .64h, it quadruples, etc)

b) plug in y = 450, and solve for x

you should get x = 0.32*log(4.5)/log(2)

which is about 0.694h

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