To determine which statement is true about the graphed lines, we need to understand what constitutes a proportional relationship. A proportional relationship between two variables can typically be identified by the following characteristics:
- The graph of a proportional relationship is a straight line that passes through the origin (0,0).
- The ratio of the two quantities remains constant.
Without the actual graphs (Graph A and Graph B) to visually evaluate their attributes, I cannot definitively select the correct response. However, here’s how you can analyze the graphs:
- Look for the origin: If the line of the graph passes through the origin (0,0), it may represent a proportional relationship.
- Check for straightness: Ensure the graph is linear; non-linear graphs do not represent proportional relationships.
- Evaluate the slope: If the line has a consistent slope (rise over run) that remains the same throughout, it indicates a proportional relationship.
Using these criteria, you can choose the appropriate option:
- A: Choose this if only Graph A goes through the origin and is straight.
- B: Choose this if only Graph B goes through the origin and is straight.
- C: Choose this if both graphs go through the origin and are straight.
- D: Choose this if neither graph goes through the origin or if they are not linear.
If you can provide details about the graphs, I can assist you in making the choice!