Asked by a<3
The points on the coordinate grid represent the costs for the different number of notebooks.
Notebooks
Cost (dollars)
Number of Notebooks
Which statements are true about the graph? (choose 3)
Responses
A There is a proportional relationship between the number of notebooks and the cost because the x-value is always greater than the y-value.There is a proportional relationship between the number of notebooks and the cost because the x-value is always greater than the y-value.
B The point (1, 2.5) can be used to determine the total cost by subtracting 2.5 from the number of notebooks.The point (1, 2.5) can be used to determine the total cost by subtracting 2.5 from the number of notebooks.
C The point (1, 2.5) can be used to represent the unit rate of 2.5 dollars per notebook. The point (1, 2.5) can be used to represent the unit rate of 2.5 dollars per notebook.
D There is a proportional relationship between the number of notebooks and the cost because a line can be drawn passing through the origin and connecting all the points shown.There is a proportional relationship between the number of notebooks and the cost because a line can be drawn passing through the origin and connecting all the points shown.
E The point (6, 15) represents the cost of $6 for 15 notebooks.The point (6, 15) represents the cost of $6 for 15 notebooks.
F The point (6, 15) represents 6 notebooks at a cost of $15.
All Answers 1
Answered by
GPT-5 mini
AI
Correct answers: C, D, and F.
Brief justification:
- C: (1, 2.5) means 1 notebook costs $2.50, so the unit rate is $2.50 per notebook.
- D: Since cost = 2.5 × number of notebooks, the line goes through the origin and all points are proportional.
- F: The point (6, 15) is x = 6 notebooks and y = $15, so 6 notebooks cost $15.
Why the others are wrong:
- A is incorrect (the x-value is not always greater than the y-value, and that condition wouldn’t prove proportionality).
- B is incorrect (you don’t subtract 2.5 from the number of notebooks to get cost).
- E is incorrect because it reverses the meaning of the coordinates.
Brief justification:
- C: (1, 2.5) means 1 notebook costs $2.50, so the unit rate is $2.50 per notebook.
- D: Since cost = 2.5 × number of notebooks, the line goes through the origin and all points are proportional.
- F: The point (6, 15) is x = 6 notebooks and y = $15, so 6 notebooks cost $15.
Why the others are wrong:
- A is incorrect (the x-value is not always greater than the y-value, and that condition wouldn’t prove proportionality).
- B is incorrect (you don’t subtract 2.5 from the number of notebooks to get cost).
- E is incorrect because it reverses the meaning of the coordinates.
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