PLEASE HELP! You’ve determined that, in a direct variation problem, the constant of variation (k) is 1/8. What is the value of y

Question

PLEASE HELP!

You’ve determined that, in a direct variation problem, the constant of variation (k) is 1/8. What is the value of y when x is 12? Just type the value of y (a number). If it’s an integer, type the integer. Otherwise, write it as a fraction in simplest form.

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    2021-09-04T16:34:46+00:00

    ANSWER

    When the value of x is 12, then,

    y=1\frac{1}{2}

    EXPLANATION

    The statement, y varies directly as x is written nathematically as y \propto x

    If we introduce the constant of proportionality, then we can write the equation,

    y=kx

    where k is the constant of proportionality. It is also called the constant of variation.

    If

    k=\frac{1}{8}, then the direct variation equation becomes.

    y=\frac{1}{8}x

    When

    x=12, then

    y=\frac{1}{8}\times 12

    This simplifies to

    y=\frac{3}{2}

    y=1\frac{1}{2}

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