If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2? y = StartFraction 48 Ov

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If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2? y = StartFraction 48 Over 6 EndFraction (2)

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Phúc Điền 4 years 2021-09-05T14:25:54+00:00 1 Answers 119 views 0

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  1. binhan
    0
    2021-09-05T14:27:31+00:00
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    Answer:

    The expression that can be used to find the value of y when x is 2 is y = 8\cdot x

    (x = 2)

    y = 8\cdot (2)

    y = 16

    Step-by-step explanation:

    As we know that y varies directly as x. The following expression is done:

    y \propto x

    y = k\cdot x

    Where k is the proportionality constant.

    If we know that x = 6 and y = 48, the proportionality constant is:

    k = \frac{y}{x}

    k = \frac{48}{6}

    k = 8

    The expression that can be used to find the value of y when x is 2 is y = 8\cdot x

    (x = 2)

    y = 8\cdot (2)

    y = 16

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