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)
Responses

4.5xy
4 point 5 x y

x+1.5x+2y
x plus 1 point 5 x plus 2 y

2.5y
2 point 5 y

x−1.5x
x minus 1 point 5 x

2y+2.5x

Answer 1

To determine Gabriel's total cost, we need to look at the items he purchased:

1. **Apples**: He bought 2.5 pounds at a cost of \( x \) dollars per pound. The total cost for the apples would be calculated as:
\[
2.5 \text{ pounds} \times x \text{ dollars/pound} = 2.5x
\]

2. **Lettuce**: He bought 2 bags of lettuce at a cost of \( y \) dollars each. The total cost for the lettuce would be:
\[
2 \text{ bags} \times y \text{ dollars/bag} = 2y
\]

Now, to find the total cost, we add the cost of the apples and the cost of the lettuce:
\[
\text{Total Cost} = 2.5x + 2y
\]

Given this, let's evaluate the provided expressions:

1. **4.5xy** – This does not represent the total cost.
2. **x + 1.5x + 2y** – This simplifies to \( 2.5x + 2y \). This is a correct representation of the total cost.
3. **2.5y** – This does not represent the total cost.
4. **x - 1.5x** – This simplifies to \( -0.5x \), which does not represent the total cost.
5. **2y + 2.5x** – This is the same as \( 2.5x + 2y \), which is also a correct representation of the total cost.

Thus, the two correct responses are:

- **x + 1.5x + 2y** (which simplifies to \( 2.5x + 2y \))
- **2y + 2.5x** (which is the same as \( 2.5x + 2y \))