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Math Question, requesting method of how to solve too, please?

If everyone had the same body proportions, your weight in pounds would vary directly with the cube of your height in ft. Assume the average height and weight of a female in your math class is 5ft 6in and 140 pounds. Use this information to write a variation equation then use it to find the weight of the female below if she had the same body type as the average female. Round answer to the nearest pound. Kelly 5ft 2in

2 Answers

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  • Brent
    Lv 6
    6 years ago

    W = k H³

    W / H³ = k

    W1 / H1³ = W2 / H2³

    140 lb / (66 in)³ = W2 / (62 in)³

    140 lb * (62 in)³ / (66 in)³ = W2

    W2 = 116 lb

  • ?
    Lv 7
    6 years ago

    w = kh^3

    140 = k5.5^3

    k = 140/5.5^3

    w = 140h/5.5^3

    w(5.1.6667) = 116 lb

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