A certain bacteria doubles the number of its cells every 20min. A scientists puts 50 cells in a culture desk. How many cells will be in the culture dish after 2h.

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11-10-2014
Mathematics

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A certain bacteria doubles the number of its cells every 20min. A scientists puts 50 cells in a culture desk. How many cells will be in the culture dish after 2h.

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rabinshrestha41 rabinshrestha41 · Answer 1 · 2014-10-11T22:08:52-04:00

Given:
total bacteria cells = 50
time given = 2 hours = (2 * 60) minutes
= 120 minutes.
Now,
According to the question,
the bacteria cells replicate itself in 20 minutes.
So,
In 20 minutes, the bacteria cells replicate 1 time
In 1 minute, the bacteria cells replicate 1/20 times
In 120 minutes, the bacteria cells replicate (1/20)*120 times
= 6 times
So,
In 120 minutes , there will be (50 * 6) bacteria cells
= 300 bacteria cells

So, there will be 300 cells in the culture dish after 2h

MichaelLiu MichaelLiu · Answer 2 · 2014-10-11T22:57:59-04:00

MichaelLiu MichaelLiu

11-10-2014

Every 20 min, the bacteria doubles. So there should be 6 doubling periods in 2 hrs. (2hrs / 20 min = 6) So now you just have to double 50, 6 times. This is essentially 50* [tex] 2^{6} [/tex] which is equal to 50*64=3200. 3200 is the number of bacteria after you doubled 50, 6 times.

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