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

x−1.5x
x minus 1 point 5 x

2.5y
2 point 5 y

2y+2.5x

Answer 1

To find Gabriel's total cost, 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 per pound, so the cost for the apples would be:
\[
2.5x
\]

2. **Cost of lettuce**: He bought 2 bags of lettuce at y dollars each, so the cost for the lettuce would be:
\[
2y
\]

3. **Total cost**: The total cost would then be the sum of the costs of the apples and the lettuce:
\[
Total Cost = 2.5x + 2y
\]

Now, let's review the options to find the ones that represent the total cost:

- **4.5xy**: This does not represent the total cost.

- **x + 1.5x + 2y**: This simplifies to \( (1 + 1.5)x + 2y = 2.5x + 2y \), so this one represents the total cost.

- **x - 1.5x**: This simplifies to \( -0.5x \), which does not represent the total cost.

- **2.5y**: This does not represent the total cost.

- **2y + 2.5x**: This is the same as \( 2.5x + 2y \), which also represents the total cost.

The correct answers are:
- **x + 1.5x + 2y**
- **2y + 2.5x**