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21 November, 15:08

The relitive growth rate for a certain type of bactieria population is 85% per hour. a small culture has formed and in just 2 hours the count shows to be 12,500 bacteria in the culture what is the inital number of bacteria in the culture?

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  1. 21 November, 15:35
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    So, the initial number of bacteria in the culture = x

    After 1 hour,

    The number of bacteria = 185x/100

    = 1.85x

    After 2 hours,

    The number of bacteria = (185 * 1.85x) / 100

    = 3.42x

    So:

    3.42x = 12500

    x = 12500/3.42

    = 3654.97

    = 3655

    From the above deduction, we can conclude that the initial number of bacteria in the culture is 3655.

    -taskmasters
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