Which graph represents a non-proportional relationship?
(1 point)
Responses
Graph A
Graph A
Graph B
Graph B
Graph C
Graph C
Graph D
Graph D
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To determine which graph represents a non-proportional relationship, we need to understand what a proportional relationship is. In a proportional relationship, the points on the graph lie on a straight line that passes through the origin (0,0). This means that as one variable increases, the other variable increases or decreases in a constant ratio.
Now, let's analyze the given graphs:
- Graph A: This graph shows a straight line passing through the origin (0,0). It represents a proportional relationship since the points lie on a straight line.
- Graph B: This graph also shows a straight line passing through the origin (0,0), indicating a proportional relationship.
- Graph C: This graph shows a curved line that does not pass through the origin. It represents a non-proportional relationship because the points do not lie on a straight line.
- Graph D: This graph shows a vertical line. It does not represent any relationship since only one variable is changing.
Therefore, the graph that represents a non-proportional relationship is Graph C.