Question

Vivian 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) Vivian's grandfather uses, x, and the number of pralines he makes, y. He uses 5 cups of pecans to make 50 pralines. Write the equation for the relationship between x and y.

Answer 1

Vivian's grandfather uses 5 cups of pecans for every 50 pralines, leading to the proportional relationship equation: y = 10x, where y is the number of pralines and x is the amount of pecans in cups.

Step-by-step explanation:

The question asks us to establish the proportional relationship between the amount of pecans used (x) and the number of pralines made (y). Given that 5 cups of pecans make 50 pralines, we can derive the constant of proportionality (k) by dividing the number of pralines by the number of cups of pecans.

k = y/x = 50/5 = 10

Therefore, the equation expressing the relationship between x and y is:

y = 10x