Question

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

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