Question

Anthony goes to the store to buy Valentine candy and cards. Each price per candy item is the same and each price per card is the same. The candy item costs more than a card does. His total spent can be modeled by the expression 5.50x + 3.50y. Which statement correctly interprets a part of the expression?(1 point)

Anthony spends $3.50 per candy item
Anthony spends $5.50 per candy item
Anthony spends $3.50 in total for candy items

Answer 1

The correct interpretation of the expression \(5.50x + 3.50y\) is:

**Anthony spends $3.50 per card item.**

In this expression, \(x\) represents the number of candy items and \(y\) represents the number of card items. Thus, Anthony spends $5.50 for each candy item (the coefficient of \(x\)) and $3.50 for each card item (the coefficient of \(y\)). Therefore, the provided options can be assessed as follows:

1. Anthony spends $3.50 per candy item - **Incorrect** (it’s per card)
2. Anthony spends $5.50 per candy item - **Correct**
3. Anthony spends $3.50 in total for candy items - **Incorrect** (this is the price per card)

So, the interpretation that correctly corresponds to a part of the expression is that **Anthony spends $3.50 per card item**.