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

2.5y
2 point 5 y

x−1.5x
x minus 1 point 5 x

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

4.5xy
4 point 5 x y

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

Answer 1

To find the total cost Gabriel incurred while shopping, we can break it down into two parts:

1. The cost of apples, which is 2.5 pounds at x dollars per pound:
- Cost of apples = 2.5 * x = 2.5x

2. The cost of lettuce, which is 2 bags at y dollars each:
- Cost of lettuce = 2 * y = 2y

Therefore, the total cost can be represented as:
Total Cost = Cost of apples + Cost of lettuce
Total Cost = 2.5x + 2y

Now, let's evaluate the options provided:

1. **2.5y**: This represents 2.5 times the cost of lettuce, which is not the total cost. So, **not applicable**.

2. **x−1.5x**: This simplifies to -0.5x, which doesn't represent cost; hence, **not applicable**.

3. **2y + 2.5x**: This accurately represents the total cost calculated above (Cost of lettuce + Cost of apples). So, **applicable**.

4. **4.5xy**: This does not represent the sum of costs; it seems to be multiplying the costs together, which isn't correct. So, **not applicable**.

5. **x + 1.5x + 2y**: This simplifies to 2.5x + 2y, which also accurately represents the total cost. So, **applicable**.

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