Question

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. . Gabriel has $30 to pay for the groceries. What simplified expression would represent the amount of change he should receive?(1 point) Responses 30+2x−2.5y 30 plus 2 x minus 2 point 5 y 30−2.5x−2y 30 minus 2 point 5 x minus 2 y 30−2x−2.5y 30 minus 2 x minus 2 point 5 y 2.5x+2y+30 2 point 5 x plus 2 y plus 30

Answer 1

To find the amount of change Gabriel should receive after his grocery purchases, we need to first calculate the total cost of the items he bought.

1. Cost of apples:
- He bought 2.5 pounds of apples at \(x\) dollars per pound.
- Total cost for apples = \(2.5x\).

2. Cost of lettuce:
- He bought 2 bags of lettuce at \(y\) dollars each.
- Total cost for lettuce = \(2y\).

Now, let's calculate the total amount Gabriel spent on groceries:
\[
\text{Total cost} = \text{cost of apples} + \text{cost of lettuce} = 2.5x + 2y.
\]

Gabriel has $30 to pay for the groceries. Therefore, the amount of change he should receive can be calculated as:
\[
\text{Change} = 30 - \text{Total cost} = 30 - (2.5x + 2y).
\]

This expression can be simplified to:
\[
\text{Change} = 30 - 2.5x - 2y.
\]

Thus, the correct simplified expression representing the amount of change Gabriel should receive is:
\[
\boxed{30 - 2.5x - 2y}.
\]