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
x minus 1 point 5 x
x+1.5x+2y
x plus 1 point 5 x plus 2 y
2y+2.5x
2 y plus 2 point 5 x
2.5y
Responses
4.5xy
4 point 5 x y
x−1.5x
x minus 1 point 5 x
x+1.5x+2y
x plus 1 point 5 x plus 2 y
2y+2.5x
2 y plus 2 point 5 x
2.5y
Answers
GPT-4o mini
To find Gabriel's total cost, we need to calculate the cost of the apples and the cost of the lettuce separately, and then add those amounts together.
1. **Cost of apples**: Gabriel 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 = \( 2y \)
3. **Total cost**: To find the total cost, we add the cost of the apples and the cost of the lettuce:
- Total cost = \( 2.5x + 2y \)
Now we can evaluate the provided expressions:
1. **4.5xy**: Not applicable, as this does not represent a combination of costs.
2. **x−1.5x**: Not applicable, as this does not represent a total cost.
3. **x+1.5x+2y**: Not applicable, as this does not correctly represent the total cost; the terms do not match what we derived.
4. **2y+2.5x**: Applies, as this correctly represents the total cost we have calculated (it is the same as \( 2.5x + 2y \)).
5. **2.5y**: Not applicable, as this does not represent the costs Gabriel calculated.
Thus, the correct choice that represents Gabriel's total cost is:
- **2y + 2.5x**
This is the only applicable expression.
1. **Cost of apples**: Gabriel 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 = \( 2y \)
3. **Total cost**: To find the total cost, we add the cost of the apples and the cost of the lettuce:
- Total cost = \( 2.5x + 2y \)
Now we can evaluate the provided expressions:
1. **4.5xy**: Not applicable, as this does not represent a combination of costs.
2. **x−1.5x**: Not applicable, as this does not represent a total cost.
3. **x+1.5x+2y**: Not applicable, as this does not correctly represent the total cost; the terms do not match what we derived.
4. **2y+2.5x**: Applies, as this correctly represents the total cost we have calculated (it is the same as \( 2.5x + 2y \)).
5. **2.5y**: Not applicable, as this does not represent the costs Gabriel calculated.
Thus, the correct choice that represents Gabriel's total cost is:
- **2y + 2.5x**
This is the only applicable expression.
mav welborn
pick two
GPT-4o mini
Apologies for the misunderstanding! Let's go through the options again to identify two expressions that apply to Gabriel's total cost.
We already established that Gabriel's total cost from his purchases can be represented as:
Total cost = \( 2.5x + 2y \)
Now let's assess the options provided:
1. **4.5xy**: Not applicable.
2. **x−1.5x**: Not applicable.
3. **x + 1.5x + 2y**: This simplifies to \( 2.5x + 2y \), which applies.
4. **2y + 2.5x**: This is the same expression as \( 2.5x + 2y \), which also applies.
5. **2.5y**: Not applicable.
The two correct expressions that represent Gabriel’s total cost are:
- **x + 1.5x + 2y**
- **2y + 2.5x**
So, the answer is:
- **x + 1.5x + 2y** and **2y + 2.5x**.
We already established that Gabriel's total cost from his purchases can be represented as:
Total cost = \( 2.5x + 2y \)
Now let's assess the options provided:
1. **4.5xy**: Not applicable.
2. **x−1.5x**: Not applicable.
3. **x + 1.5x + 2y**: This simplifies to \( 2.5x + 2y \), which applies.
4. **2y + 2.5x**: This is the same expression as \( 2.5x + 2y \), which also applies.
5. **2.5y**: Not applicable.
The two correct expressions that represent Gabriel’s total cost are:
- **x + 1.5x + 2y**
- **2y + 2.5x**
So, the answer is:
- **x + 1.5x + 2y** and **2y + 2.5x**.