which statement is true about the graphs shown?\na only graph a represents a proportional relationship.\nb…

which statement is true about the graphs shown?\na only graph a represents a proportional relationship.\nb only graph b represents a proportional relationship.\nc graph a and graph b both represent a proportional relationship.\nd graph a and graph b both represent a non-proportional relationship.

which statement is true about the graphs shown?\na only graph a represents a proportional relationship.\nb only graph b represents a proportional relationship.\nc graph a and graph b both represent a proportional relationship.\nd graph a and graph b both represent a non-proportional relationship.

Answer

Brief Explanations:

A proportional relationship is defined by a linear graph that passes through the origin (0,0) and follows the equation $y=kx$ where $k$ is a constant.

  1. Graph A is a straight line that passes through (0,0), so it represents a proportional relationship.
  2. Graph B is a straight line that does not pass through (0,0) (it intersects the y-axis at a non-zero value), so it represents a non-proportional relationship.

Answer:

A. Only graph A represents a proportional relationship.