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. \

$$\begin{tabular}{|c|c|} \\hline x (cans of peach juice concentrate) & y (bottles of lemon - lime soda) \\\\ \\hline 2 & 8 \\\\ \\hline 3 & 12 \\\\ \\hline 4 & 16 \\\\ \\hline 5 & 20 \\\\ \\hline \\end{tabular}$$

what is the constant of proportionality? write your answer as a whole number or decimal. \underline{\quad\quad} bottles of lemon - lime soda per can of peach juice concentrate

Explanation:

Step1: Recuerda la fórmula para la constante de proporcionalidad

Para una relación proporcional \( y = kx \), la constante de proporcionalidad \( k \) se calcula como \( k=\frac{y}{x} \).

Step2: Usa un par de valores de la tabla

Tomemos el primer par: \( x = 2 \), \( y = 8 \). Entonces \( k=\frac{8}{2}=4 \).
Verificamos con otro par: \( x = 3 \), \( y = 12 \). \( k=\frac{12}{3}=4 \).
Otro: \( x = 4 \), \( y = 16 \). \( k=\frac{16}{4}=4 \).
Y \( x = 5 \), \( y = 20 \). \( k=\frac{20}{5}=4 \).

Answer:

4