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31 December, 11:18

The weight M of an object on the moon varies directly as its weight E on earth. A person who weighs 149.76 l b on earth weighs 25.46 l b on the moon. How much would a 256.47 dash l b person weigh on the moon?

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  1. 31 December, 11:43
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    Weight on the moon = 43.60 l b

    Step-by-step explanation:

    Let the weight of the object on the moon be M.

    Let the weight of the object on the earth be E.

    M α E

    M = kE (where k = constant)

    Make k the subject of the formula.

    k = M/E

    When M = 25.46 l b and E = 149.76 l b

    k = 25.46/149.76

    k = 0.17

    Put k = 0.17 into the equation M = kE

    Therefore;

    M = 0.17E (This shows the relationship between M and E)

    When E = 256.47 l b

    M = 0.17 * 256.47

    M = 43.60 l b
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