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 . Which of the statement correctly interprets a part of the expression?(1 point)

Responses

Antoine spends $35.00 in total for shoes.

Antoine spends $35.00 in total for shoes.

Antoine spends $55.00 per pair of shoes.
Antoine spends $55.00 per pair of shoes.

Antoine spends $35.00 per pair of shoes.
Antoine spends $35.00 per pair of shoes.

1 answer

It seems that your question is about interpreting an equation, but the specific equation is missing from your prompt. However, I can help clarify the options you provided based on common interpretations in a spending context involving shoes and jerseys.

If the spending model is something like \( S = p \cdot x + j \cdot y \) where:

  • \( S \) is the total spending
  • \( p \) is the price per pair of shoes
  • \( j \) is the price per jersey
  • \( x \) is the number of pairs of shoes bought
  • \( y \) is the number of jerseys bought

Based on the statements you have provided:

  1. Antoine spends $35.00 in total for shoes. - This suggests the total amount spent on shoes alone, which should be derived from the product of the price and quantity. If the equation reflects total spending, this statement is likely incorrect without more context.

  2. Antoine spends $55.00 per pair of shoes. - This indicates the unit price of the shoes. If the equation includes a coefficient representing the price of shoes, and if that price is indeed $55.00, then this interpretation would be correct.

  3. Antoine spends $35.00 per pair of shoes. - Similar to the previous point, this would only be correct if the equation specifies that the price per pair of shoes is $35.00.

Without the precise equation, it's challenging to determine the correct interpretation fully, but I suggest referring to the coefficients in the equation—those would indicate the spending per item.

If you could provide the actual equation or clarify it, I could give a more accurate interpretation of the statements.