Question

8 of 13 x.11 write and solve equations for proportional relationships hmh question read the description of a proportional relationship. marie is excited because her grandfather in new orleans is going to teach her how to make pralines! there is a proportional relationship between the amount of pecans (in cups) maries grandfather uses, x, and the number of pralines he makes, y. he uses 2 cups of pecans to make 8 pralines. write the equation for the relationship between x and y. y =

Explanation:

Step1: Find the constant of proportionality

In a proportional relationship \( y = kx \), \( k \) is the constant of proportionality (unit rate). We know that when \( x = 2 \) (cups of pecans), \( y = 8 \) (pralines). To find \( k \), we use the formula \( k=\frac{y}{x} \). Substituting the values, we get \( k = \frac{8}{2}=4 \).

Step2: Write the equation

Since the proportional relationship is \( y = kx \) and we found \( k = 4 \), the equation is \( y = 4x \).

Answer:

\( 4x \)