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 2y+2.5x 2 y plus 2 point 5 x 2.5y

Answer 1

To calculate Gabriel's total cost, you need to consider the cost of the apples and the cost of the lettuce separately.

1. **Cost of apples**: Gabriel bought 2.5 pounds of apples at \( x \) dollars per pound. The cost for apples is:
\[
2.5 \times x = 2.5x
\]

2. **Cost of lettuce**: Gabriel bought 2 bags of lettuce at \( y \) dollars each. The cost for the lettuce is:
\[
2 \times y = 2y
\]

3. **Total cost**: To find the total cost, you add the cost of apples to the cost of lettuce:
\[
\text{Total Cost} = 2.5x + 2y
\]

Now, looking at the options provided, we can find expressions that are equivalent to \( 2.5x + 2y \):

- **Valid expressions**:
- \( 2y + 2.5x \) (this is the same as \( 2.5x + 2y \))
- \( 2.5y \) does not apply (it’s incorrect).

- **Invalid expressions**:
- \( 4.5xy \), \( 4 point 5 x y \), \( x + 1.5x + 2y \) simplify to \( 2.5x + 2y \) and \( x + 1.5x + 2y \) which should simplify as well but not equal \( 2.5x + 2y \) is invalid.

- **Others, like**:
- \( 2y + 2.5x \) apply as we already considered this one.

Thus, the correct expressions representing Gabriel's total cost are:
- \( 2.5x + 2y \)
- \( 2y + 2.5x \)

These would represent Gabriel's total cost correctly.