Hillary and Sarah went shopping over the weekend to purchase new shirts.

Question

The equation below represents the total amount of money Hillary spent on x shirts.
y=18x

The graph below represents the total amount of money Sarah spent on x shirts.
the graphs constant of proportionality is 15.

Who paid the cheaper price per shirt?

Answer 1

To find out who paid the cheaper price per shirt, we can compare the constants of proportionality for both Hillary and Sarah.

For Hillary, the equation is \( y = 18x \). This means that she spent $18 on each shirt since \( y \) represents the total amount spent and \( x \) represents the number of shirts.

For Sarah, it is stated that her graph's constant of proportionality is 15. This means that she spent $15 on each shirt.

Now we compare the prices per shirt:

• Hillary's cost per shirt: $18
• Sarah's cost per shirt: $15

Since $15 is less than $18, Sarah paid the cheaper price per shirt.