At the moment a certain medicine. Is injected, it’s concentration in the blood stream is 120 mg/L. From that moment forward, the medicine co

Question

At the moment a certain medicine. Is injected, it’s concentration in the blood stream is 120 mg/L. From that moment forward, the medicine concentration drop by 30% each hour. Write a function that gives the medicines concentration in milligrams Per liter, C(t),t hours after the medicine was injected

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Abigail 3 weeks 2021-09-27T03:57:37+00:00 2 Answers 0

Answers ( )

    0
    2021-09-27T03:59:04+00:00

    Answer:

    Step-by-step explanation:

    From that moment forward, the medicine concentration drop by 30% each hour. It means that the rate at which the medicine concentration is dropping is exponential. We would apply the formula for exponential decay which is expressed as

    A = P(1 – r)^t

    Where

    P represents the initial concentration.

    A represents the final concentration after t hours.

    t represents the number of hours.

    r represents the rate

    From the information given

    P = 120 mg/L

    r = 30% = 30/100 = 0.3

    The expression becomes

    C(t) = 120(1 – 0.3)^t

    C(t) = 120(0.7)^t

    0
    2021-09-27T03:59:27+00:00

    Answer:

    C(t)=120(0.7)^t

    Step-by-step explanation:

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