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
35
𝑥
+
55
𝑦
. 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 the expression is:

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

This is because in the expression \(35x + 55y\), the coefficient \(35\) represents the cost per pair of shoes (where \(x\) is the number of pairs of shoes).

Statement #2 is incorrect because it refers to the cost per pair of shoes being $55, which is actually the cost per jersey.

Statement #3 is incorrect as it suggests Antoine spends $35 in total for shoes, while $35 is the cost per pair, not the total.

Therefore, Statement #1 is the accurate interpretation.