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28 November, 14:49

Suppose v varies directly as g, and v = 36 when g = 4. find v when g = 11

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  1. 28 November, 15:50
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    Step-by-step explanation:

    If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the other variable.

    Given that v varies directly with g, if we introduce a constant of proportionality, k, the expression becomes

    v = kg

    If v = 36 when g = 4, then

    36 = 4k

    k = 36/4 = 9

    Therefore, the direct variation equation is

    v = 9g

    when g = 11, then

    v = 9 * 11

    v = 99
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