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%C2%A0x%C2%A0dollars a pound and 2 bags of lettuce for%C2%A0y%C2%A0dollars each. Which expressions would represent his total cost? Check the two that apply.(2 points) Responses 2.5y 2 point 5 y 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

Answer 1

To find Gabriel's total cost, we need to consider both the cost of the apples and the cost of the lettuce.

1. For the apples, he bought 2.5 pounds at \( x \) dollars per pound, so the cost for the apples is:
\[
2.5x
\]

2. For the lettuce, he bought 2 bags at \( y \) dollars each, so the cost for the lettuce is:
\[
2y
\]

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

Now, let's check the expressions provided:

- \( 2.5y \): This does not represent the total cost correctly.
- \( 4.5xy \): This does not represent the total cost correctly.
- \( x + 1.5x + 2y \): This simplifies to \( 2.5x + 2y \), which is correct.
- \( x - 1.5x \): This simplifies to \( -0.5x \), which does not represent the total cost correctly.
- \( 2y + 2.5x \): This is the same as \( 2.5x + 2y \), which is correct.

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

So the answers are:
- \( x + 1.5x + 2y \)
- \( 2y + 2.5x \)