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)

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.