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16 March, 07:05

There are some bacteria in a dish. Every hour, each bacterium splits

into 3 bacteria.

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Answers (1)
  1. 16 March, 07:11
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    (a) At the end of 2 hours, we have 9 bacteria. (b) At the end of 3 hours, we have 27 bacteria.

    Step-by-step explanation:

    The given question is incomplete.

    There are some bacteria in a dish. Every hour, each bacterium splits into 3 bacteria.

    a) What happens in hours 2 and 3.

    b) How many bacteria are there in hours 2 and 3?

    Let us assume n = the number of bacteria at a given hour.

    Now here given at zero hour, there is only 1 bacteria.

    1 bacteria after an hour is split in to 3 bacteria.

    So, at the end of 1 hour, we have n (1) = 3

    Now, at the end of the second hour, each of the 3 bacteria will split in to 3 more bacteria.

    So, n (2) = 3 x 3 = 9 bacteria

    So, at the end of 2 hours, we have n (2) = 9

    Now, at the end of the third hour, each of the 9 bacteria will split in to 3 more bacteria.

    So, n (3) = 9 x 3 = 27 bacteria

    So, at the end of 3 hours, we have n (3) = 27

    Hence, in total after 3 hours, we have 27 bacteria.
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