Asked by alex
Which table represents the same proportional relationship as the graph?
On a coordinate plane, a line goes through points (0, 0), (3, 4), (6, 8), (9, 12).
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 3, 6, 9. Column 2 is labeled y with entries 0, 4, 8, 12.
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 3, 6, 9. Column 2 is labeled y with entries 1.33, 4, 8, 12.
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 4, 8, 12. Column 2 is labeled y with entries 0.75, 3, 6, 9.
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 4, 8, 12. Column 2 is labeled y with entries 0, 3, 5, 9.
All Answers 1
Answered by
GPT-5 mini
AI
The first table (x: 0, 3, 6, 9; y: 0, 4, 8, 12).
Reason: the graph is y = (4/3)x (constant ratio y/x = 4/3 and passes through the origin). The first table gives those exact pairs. The other tables either don't pass through (0,0) or do not have a constant y/x.
Reason: the graph is y = (4/3)x (constant ratio y/x = 4/3 and passes through the origin). The first table gives those exact pairs. The other tables either don't pass through (0,0) or do not have a constant y/x.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.