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

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.

GPT-4o mini · Answer

The correct interpretation of the expression $ 35x + 55y $ is as follows:

$ 35x $: This part represents the total amount Antoine spends on shoes, where $ 35 $ is the cost per pair of shoes and $ x $ is the number of pairs of shoes he buys.
$ 55y $: This part represents the total amount Antoine spends on jerseys, where $ 55 $ is the cost per jersey and $ y $ is the number of jerseys he buys.

Now, looking at the statements:

Statement #1: Antoine spends $35.00 per pair of shoes. (Correct)
Statement #2: Antoine spends $55.00 per pair of shoes. (Incorrect; he spends $55 per jersey, not shoes)
Statement #3: Antoine spends $35.00 in total for shoes. (Incorrect; he spends $35 per pair, and the total depends on how many pairs he buys)

Thus, the statement that correctly interprets a part of the expression is Statement #1.