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March 30, 2017

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C varies inversely as J. If C = 7 when J = 0.7, determine C when J = 12

  • graphs in math - ,

    C varies inversely as J ---> C = k(1/J) , where k is a constant
    when C=7, J=.7
    7 = k(1/.7)
    k = 4.9

    so C = 4.9/J
    when J=12
    C = 4.9/12 = .408333..

    or:

    C1/C2 = J2/J1
    7/C2 = 12/.7
    12C2 = 7(.7)
    C2 = 7(.7)/12 = .408333..

    notice the actual calculations are of course the same.

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