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

## Answer this Question

## Related Questions

- Math - The doubling period of a bacteria culture is 35 minutes and it starts ...
- Physics - The bacterium Escherichia coli (or E. coli) is a single-celled ...
- math - The number of bacteria in a culture is modeled by: n(t) = 1330e^(0.42t) (...
- MATH :) - 3. In Biology, it is found that the bacteria in a certain culture ...
- Math - he number of bacteria in a culture is modeled by n(t)=1710e071t (a) The ...
- math - The number of bacteria in a culture is modeled by n(t)=1710e071t (a) The ...
- Math - A culture of bacteria in a petri dish is doubling every hour. If there ...
- math - Bladder infections are often caused when the bacteria E. coli reach the ...
- Math - I'm not sure how to do this question 7. The growth of bacteria in culture...
- College Algebra - The number of bacteria in a certain culture increased from ...

More Related Questions