Question

Add the soccer team spaghetti dinner. Each plate contains 1/4 pound of spaghetti. After selling 52 plates, they had 12 pounds of spaghetti remaining. Write an equation that relates the amount of spaghetti y to the number of plates sold x.

Answer 1

To find the relationship between the amount of spaghetti y and the number of plates sold x, use the equation y = (1/4) * x + 12, which accounts for the 1/4 pound of spaghetti per plate and the 12 pounds leftover.

Step-by-step explanation:

To relate the amount of spaghetti y to the number of plates sold x, we start by understanding the given information. Each plate contains 1/4 pound of spaghetti, and after selling 52 plates, there were 12 pounds of spaghetti remaining. We can set up an equation to express the total amount of spaghetti (y) as the sum of what was sold (1/4 * x) and what is remaining (12 pounds).

The equation reflecting this relationship is:
y = (1/4) * x + 12

This equation implies that for every plate sold, a quarter pound of spaghetti is used, and it adds the 12 pounds remaining to account for the total amount of spaghetti. By inserting the number of plates sold (x) into the equation, you can calculate the total amount of spaghetti (y) at any point.