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16 March, 16:55

At 1 p. M., the number of bacteria in a petri dish is 54. It is estimated that the population of bacteria will increase by 6% each hour. Write a formula for the population of bacteria.

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  1. 16 March, 20:43
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    Answer: y = 54 (1.06) ^t

    Step-by-step explanation:

    It is estimated that the population of bacteria will increase by 6% each hour. This is an exponential growth. The formula for determining exponential growth is expressed as

    y = b (1 + r) ^ t

    Where

    y represents the population after t years.

    t represents the number of years.

    b represents the initial population.

    r represents rate of growth.

    From the information given,

    b = 54

    r = 6% = 6/100 = 0.06

    Therefore, the formula for the population of bacteria is

    y = 54 (1 + 0.06) ^t

    y = 54 (1.06) ^t
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