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Which statement is true about the graphs shown?

Which statement is true about the graphs shown?
A. Only graph A represents a proportional relationship.
B. Only graph B represents a proportional relationship.
C. Graph A and graph B both represent a proportional relationship.
D. Graph A and graph B both represent a non-proportional relationship.




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1 Answer

  1. To determine which statement is true about the graphs representing proportional relationships, we need to recall that a proportional relationship is one where the ratio between the variables remains constant and can be graphically represented as a straight line passing through the origin (0,0).

    If graph A passes through the origin and is a straight line, it represents a proportional relationship. If graph B also passes through the origin and is a straight line, it too represents a proportional relationship. If either graph does not pass through the origin or is not a straight line, then it does not represent a proportional relationship.

    Without seeing the graphs, we can’t definitively choose an answer, but consider the key features described above.

    For clarity:

    – If only one graph passes through the origin as a straight line, select the corresponding option (A or B).

    – If both do, then option C is correct.

    – If neither does, option D is correct.

    Check the graphs carefully to choose the right answer! If you need more detailed assistance, feel free to reach out again.