Pre-Calc

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medication duration using the function of e through time lapse
problem D(h)=8e(up carrot)-0.31(h)
find med level at 1 hour- no problem 5.88mg. but every time I insert 4 for the 4 hours I get a larger number... much larger indicting the med level has gone up.
I am sure it is my bad math not the patient begining kidney failure. any help would be apprecitated.
bjm

  • Pre-Calc -

    When h = 4 I get D(4 = 2.315

    must be the way you are entering the values for calculations on your calculator.
    On mine, an old "Sharp", I did:

    2ndF
    ln
    (±.31x4)
    =
    x
    8
    =

  • Pre-Calc -

    It helps to find the problem if you posted what you've got, even if the number is much larger.

    If you are using a calculator, I suspect the "minus" sign before the 0.31 had been left out.

    The given formula is:
    D(h) = 8e-0.31h
    For h=1, 5.87 is correct.

    For h=4,
    8e-0.31*4
    =8e-1.24
    =2.32

    If the minus sign is left out, it would have given 27.64 instead.

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