Question

Gabriel is at the grocery store, and wants to figure out his total cost before he gets to the register. He bought 2.5 pounds of apples that are x dollars a pound and 2 bags of lettuce for y dollars each. Which expressions would represent his total cost? Check the two that apply. (2 points)
• x + 1.5x + 2y
• 4.5ху
• х - 1.5х
• 2у + 2.5x
• 2.5у

Answer 1

To find Gabriel's total cost at the grocery store, we need to calculate the cost of the apples and the cost of the lettuce.

1. **Cost of Apples**: He bought 2.5 pounds of apples at x dollars a pound. This cost can be represented as:
\[
2.5x
\]

2. **Cost of Lettuce**: He bought 2 bags of lettuce at y dollars each. This cost can be represented as:
\[
2y
\]

Therefore, his total cost, which is the sum of the cost of the apples and the cost of the lettuce, can be represented by the expression:
\[
2.5x + 2y
\]

Now let's evaluate the provided expressions to find which ones represent his total cost:

1. \( x + 1.5x + 2y \) → This simplifies to \( 2.5x + 2y \) (correct).
2. \( 4.5xy \) → This does not represent the total cost (incorrect).
3. \( x - 1.5x \) → This simplifies to \( -0.5x \) (incorrect).
4. \( 2y + 2.5x \) → This is equivalent to \( 2.5x + 2y \) (correct).
5. \( 2.5y \) → This does not represent the total cost (incorrect).

The two expressions that apply and represent Gabriel's total cost are:
- \( x + 1.5x + 2y \)
- \( 2y + 2.5x \)