Someone plz help!!!!! The number of cells in a culture increases according to a continuous exponential growth model. There were 1800 t

Question

Someone plz help!!!!!
The number of cells in a culture increases according to a continuous exponential growth model. There were 1800 to begin with and after 2.5 hours there is now 1997. What is the hourly growth rate?

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Athena 2 weeks 2021-09-08T16:03:18+00:00 1 Answer 0

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  1. Emma
    0
    2021-09-08T16:04:36+00:00

    Answer:

    Hourly growth rate is 4.24%

    Step-by-step explanation:

    The formula or exponential growth is given by:

    y = a*(1+r)^n

    Where

    y is the instantaneous value of growing culture

    a is the initial value of growing culture

    r is the ‘hourly’ growth rate

    n is the number of hours passed

    As per given values:

    y = 1997; a = 1800; n = 2.5

    1997 = 1800*(1+r)^{2.5}

    1.10944=(1+r)^{2.5}

    1+r = 1.0424

    Hence, growth rate is:

    r = 0.0424 = 4.24%

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