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college math

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A quantity, W, is directly proportional to X and the square Y, and inversely proportional to the cube of Z. W=3 when X=4, Y=2 and Z=4. What is the value of W when X=8, Y=9 and Z= 6? Give answer to 3 decimal places.
Thanks in advance! I appreciate all the help! :)

  • college math -

    if you know what direct and inverse variations are, then you know that

    w = kxy^2/z^3
    plug in w,x,y,z to get k:
    3=k(4)(4)/64
    3 = k/16
    k=48 so,

    w = 48xy^2/z^3

    Now plug in the new x,y,z to get w, since we now know k.

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