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)

Statement # correctly interprets a part of the expression.

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Answer 1

The correct statement that interprets a part of the expression is:

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

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

Statement #2 is incorrect because it suggests that Antoine spends $55.00 per pair of shoes, but $55 is the cost per jersey (\(y\)). Statement #3 is also incorrect because the expression does not indicate that Antoine spends a total of $35.00 for shoes; instead, it indicates the cost per pair of shoes.

So the answer is Statement #1.