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10 March, 20:40

The number of bacteria present in a colony is 180 at 12 noon and the bacteria grows at a rate of 22% per hour. How many will be present at 8 p. m.?

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  1. 10 March, 20:56
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    Now 12 noon to 8 pm is 8 hours in total, every hour you've increased your bacteria population by 22%

    if you start with population P

    after 1 hour we have P * (1+0.22)

    after 2 hours we have P * (1+0.22) ^2

    after 8 hours we have P * (1+0.22) ^8

    therefore since we started with population 180 at 12 noon we have

    at 8 pm, 180 * (1+0.22) ^2
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