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28 June, 02:33

A bacteria culture begins with 4 bacteria which double in size every hour. How many bacteria exist in the culture after 8 hours?

A. 128

B. 256

C. 1,024

D. 8,192

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  1. 28 June, 05:55
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    Option C. 1,024 bacteria

    Step-by-step explanation:

    We are given that a bacteria culture begins with 4 bacteria which double in size every hour. And we have to find that how many bacteria exist in the culture after 8 hours;

    So, Number of bacteria after one hour = 4 * 2 = 8

    Number of bacteria after two hours = 8 * 2 = 16

    Number of bacteria after three hours = 16 * 2 = 32

    Number of bacteria after four hours = 32 * 2 = 64

    Number of bacteria after five hours = 64 * 2 = 128

    Number of bacteria after six hours = 128 * 2 = 256

    Number of bacteria after seven hours = 256 * 2 = 512

    Number of bacteria after eight hours = 512 * 2 = 1,024

    Therefore, 1,024 bacteria exist in the culture after 8 hours.
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