Question

nancy is making her special punch for the starry night homecoming dance. there is a proportional relationship between the number of cans of peach juice concentrate in a punch bowl, x, and the corresponding number of bottles of lemon - lime soda, y. x (cans of peach juice concentrate) y (bottles of lemon - lime soda) 2 8 3 12 4 16 5 20 what is the constant of proportionality? write your answer as a whole number or decimal. bottles of lemon - lime soda per can of peach juice concentrate

Explanation:

Step1: Recall the formula for constant of proportionality

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

Step2: Choose a pair of values from the table

Let's take the first pair where $x = 2$ and $y=8$.

Step3: Calculate the constant of proportionality

$k=\frac{y}{x}=\frac{8}{2}=4$.
We can check with other pairs. For $x = 3,y = 12$, $k=\frac{12}{3}=4$; for $x = 4,y = 16$, $k=\frac{16}{4}=4$; for $x = 5,y = 20$, $k=\frac{20}{5}=4$.

Answer:

4