Use the following example to answer the question.

Question

Antoine goes to the mall to buy new shoes and jerseys. He pays a set rate per pair of shoes and a set rate per jersey, and he pays more per jersey than he pays per pair of shoes. His total spending can be modeled by the equation 35x+55y
. Which of the statements correctly interprets a part of the expression?

Statement #1: Antoine spends $35.00 per pair of shoes.

Statement #2: Antoine spends $55.00 per pair of shoes.

Statement #3: Antoine spends $35.00 in total for shoes.

(1 point)

Answer 1

The correct interpretation of a part of the expression \(35x + 55y\) in the context provided is:

Statement #1: Antoine spends $35.00 per pair of shoes.

This statement accurately reflects that the coefficient of \(x\) in the expression represents the cost per pair of shoes.

• Statement #2 is incorrect because it states that Antoine spends $55.00 per pair of shoes, which actually refers to the cost per jersey.
• Statement #3 is incorrect because it suggests Antoine spends $35.00 in total for shoes, but the expression represents the cost per pair of shoes multiplied by the number of pairs (\(x\)), not the total amount spent on shoes.