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15 January, 15:21

Bacteria multiply by division. One bacterium becomes two. Then two divide into four, the four divide into eight, and so on. For a certain strain of bacteria, the time for this division process is one minute. If you put one bacterium in a bottle at 11:00 p. m., by midnight the entire bottle will be full.

1. At what time will the bottle be half full? t realize that 2. Suppose you could be a bacterium in this bottle. At what tim you were running out of space? Explain your response.

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  1. 15 January, 15:32
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    1) By 11:30pm

    2) Shortly before midnight (few minutes to 12:00am)

    Explanation:

    Since the strain of bacteria takes 1 minute to divide (double its population), and by midnight (12:00am) the entire bottle becomes full, then:

    I) Subtract Initial division time from Final division time i. e 12:00 - 11:00 = 1 hour

    II) Split 1 hour into two (60minutes makes 1 hour)

    I hour/2 = 30 minutes

    Definitely, the bottle will be half filled by 11:30pm

    2) Once half filled, the rapidly dividing cells reach for the top of the bottle as midnight approaches. By 11:50pm upwards, bottle space must have been running out
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