the crafty clay art show has invited sofia to make and sell her famous decorative plates. she molds the…

the crafty clay art show has invited sofia 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 sofia makes, x, and the amount of clay she uses (in pounds), y. x (plates) y (pounds) 5 10 6 12 7 14 10 20 what is the constant of proportionality? write your answer as a whole number or decimal. pounds per plate

the crafty clay art show has invited sofia 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 sofia makes, x, and the amount of clay she uses (in pounds), y. x (plates) y (pounds) 5 10 6 12 7 14 10 20 what is the constant of proportionality? write your answer as a whole number or decimal. pounds per plate

Answer

Explanation:

Step1: Recall the formula for constant of proportionality

For a proportional relationship $y = kx$, the constant of proportionality $k=\frac{y}{x}$.

Step2: Choose a pair of values from the table

Let's take the first - pair $x = 5$ and $y = 10$. $k=\frac{y}{x}=\frac{10}{5}$

Step3: Calculate the value of k

$\frac{10}{5}=2$

Answer:

2