Bacteria multiply at an alarming rate when bacteria splits into two new cells, thus doubling. If we start with only one bacteria which can d

Question

Bacteria multiply at an alarming rate when bacteria splits into two new cells, thus doubling. If we start with only one bacteria which can double every hour, how many bacteria will we have by the end of one day?

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Kim Chi 4 years 2021-07-25T20:09:12+00:00 2 Answers 22 views 0

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    0
    2021-07-25T20:10:34+00:00

    Answer:

    1*2^{24}=16777216

    Step-by-step explanation:

    y=C*2^t is the equation for this type of growth

    C is starting population and t is time

    C=1 and t=24 (1 day= 24 hours)

    Solve

    0
    2021-07-25T20:10:55+00:00

    2^24 = 16,777,216 bacterias.
    Step-by-step explanation:
    So we start with 1 bacteria
    after 1 hours: 2*1 = 2
    after 2 hours: 2*2 = 2^2 = 4
    after 3 hours: 2*2^2 = 2^3
    after n hours: 2^n
    Since one day has 24 hours we have n = 24 and total number of bacteria will
    be: 2^24 = 16,777,216 bacterias.

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