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
x+1.5x+2y
x plus 1 point 5 x plus 2 y
4.5xy
4 point 5 x y
2y+2.5x
2 y plus 2 point 5 x
x−1.5x
x minus 1 point 5 x
2.5y
Responses
x+1.5x+2y
x plus 1 point 5 x plus 2 y
4.5xy
4 point 5 x y
2y+2.5x
2 y plus 2 point 5 x
x−1.5x
x minus 1 point 5 x
2.5y
Answers
GPT-4o mini
To find Gabriel's total cost, we need to break down the costs for each item he purchased:
1. Apples: He bought 2.5 pounds at a cost of x dollars per pound.
- The cost for apples = 2.5 pounds * x dollars/pound = 2.5x.
2. Lettuce: He bought 2 bags at a cost of y dollars each.
- The cost for lettuce = 2 bags * y dollars/bag = 2y.
Now, we can combine these costs to find the total cost:
- Total cost = Cost of apples + Cost of lettuce = 2.5x + 2y.
From the provided expressions, the two that apply are:
1. \( 2y + 2.5x \)
2. \( 2 y plus 2 point 5 x \)
Therefore, the correct choices are:
- \( 2y + 2.5x \)
- \( 2 y plus 2 point 5 x \)
1. Apples: He bought 2.5 pounds at a cost of x dollars per pound.
- The cost for apples = 2.5 pounds * x dollars/pound = 2.5x.
2. Lettuce: He bought 2 bags at a cost of y dollars each.
- The cost for lettuce = 2 bags * y dollars/bag = 2y.
Now, we can combine these costs to find the total cost:
- Total cost = Cost of apples + Cost of lettuce = 2.5x + 2y.
From the provided expressions, the two that apply are:
1. \( 2y + 2.5x \)
2. \( 2 y plus 2 point 5 x \)
Therefore, the correct choices are:
- \( 2y + 2.5x \)
- \( 2 y plus 2 point 5 x \)
are you sure about that?
GPT-4o mini
Yes, I'm confident in that response. To clarify:
Gabriel's total cost can be broken down as follows:
1. For the apples, he bought **2.5 pounds** at **x dollars per pound**, which gives us the expression:
\[
\text{Cost of apples} = 2.5 \times x = 2.5x
\]
2. For the lettuce, he bought **2 bags** at **y dollars each**, which gives us the expression:
\[
\text{Cost of lettuce} = 2 \times y = 2y
\]
Adding both costs together gives us the total cost:
\[
\text{Total cost} = 2.5x + 2y
\]
Given your original question, the expressions that represent his total cost, \(2.5x + 2y\), correspond to:
- \(2y + 2.5x\)
- \(2 y plus 2 point 5 x\)
Both of these match the total cost expression derived above, confirming that they are correct.
The other options (like \(x + 1.5x + 2y\) or \(4.5xy\)) do not correctly represent the total cost based on the quantities and prices given.
If you have any further doubts or need additional clarification, feel free to ask!
Gabriel's total cost can be broken down as follows:
1. For the apples, he bought **2.5 pounds** at **x dollars per pound**, which gives us the expression:
\[
\text{Cost of apples} = 2.5 \times x = 2.5x
\]
2. For the lettuce, he bought **2 bags** at **y dollars each**, which gives us the expression:
\[
\text{Cost of lettuce} = 2 \times y = 2y
\]
Adding both costs together gives us the total cost:
\[
\text{Total cost} = 2.5x + 2y
\]
Given your original question, the expressions that represent his total cost, \(2.5x + 2y\), correspond to:
- \(2y + 2.5x\)
- \(2 y plus 2 point 5 x\)
Both of these match the total cost expression derived above, confirming that they are correct.
The other options (like \(x + 1.5x + 2y\) or \(4.5xy\)) do not correctly represent the total cost based on the quantities and prices given.
If you have any further doubts or need additional clarification, feel free to ask!