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Math Help - Proportions

  1. #1
    Junior Member
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    Oregon
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    Question Proportions

    Hi all,

    OK...I feel kinda silly asking this....If A is proportional to B how would you put it into a mathematical expression?

    The HW problem is this:
    "The intensity of a pure tone is proportional to the square of its amplitude. At the time that the initial amplitude has been divided by 1000 what is the value of I/I0, the ratio of the current intensity to the initial intensity?"

    Thanx for the help!
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  2. #2
    MHF Contributor
    Joined
    Apr 2005
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    1,631
    "A is proportional to B"
    A -------> B
    A = k(B) -------the mathematical expression
    where k is the constant of proportion

    -------------------
    For the posted problem,
    Let A = amplitude
    So, Ao = initial amplitude

    Ao = Ao
    A = (Ao) /1000

    Io = k(Ao)^2
    I = k(A)^2

    I /Io = k(Ao /1000)^2 / k(Ao^2)
    I /Io = 1 / (1000)^2
    I /Io = 1 / 1,000,000 -----------------answer.
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