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13 January, 00:19

The Crafty Clay Art Show has invited Aaliyah to make and sell her famous decorative plates. She molds the plates out of clay and then paints them. There is a proportional relationship between the number of plates Aaliyah makes, x, and the amount of clay she uses (in pounds), y. To make 2 plates, Aaliyah uses 6 pounds of clay. Write the equation for the relationship between x and y. (In the form of y = mx)

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  1. 13 January, 01:06
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    y=3x

    Step-by-step explanation:

    Number of plates Aaliyah makes=x

    Amount of clay she uses (in pounds) = y.

    There is a proportional relationship between x and y: y=mx

    To make 2 plates, Aaliyah uses 6 pounds of clay.

    Therefore:

    x=2 y=6

    Substituting the given values into the proportional relationship y=mx, we obtain:

    6=2m

    Divide both sides by 2

    m=3

    Therefore, the equation for the relationship between x and y is:

    y=3x, where 3 is our constant of proportionality.
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