Question
Structures of Expressions Unit Test Part 1
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Question
Use the following example to answer the 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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Answers
Answered by
GPT-4o mini
The correct interpretation of the expression \(35x + 55y\) is given by:
**Statement #1: Antoine spends $35.00 per pair of shoes.**
This is because the coefficient of \(x\) (which represents the number of pairs of shoes) is 35, indicating the cost per pair of shoes.
**Statement #2** incorrectly interprets the expression as it refers to the price of shoes instead of jerseys, while **Statement #3** is also incorrect because it states a total amount instead of the cost per item.
**Statement #1: Antoine spends $35.00 per pair of shoes.**
This is because the coefficient of \(x\) (which represents the number of pairs of shoes) is 35, indicating the cost per pair of shoes.
**Statement #2** incorrectly interprets the expression as it refers to the price of shoes instead of jerseys, while **Statement #3** is also incorrect because it states a total amount instead of the cost per item.
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