To determine which of the given graphs show a proportional relationship, we need to understand the key characteristics of such a relationship:

1. Straight Line Passing Through the Origin: A proportional relationship is represented by a straight line that passes through the origin $(0,0)$.
2. Constant Ratio: The ratio $\frac{y}{x}$ should be constant for all points on the line.

Let's analyze each option:

• Choice A:

  • If this graph shows a straight line passing through the origin, it would indicate a proportional relationship.

• Choice B:

  • The same applies here; a straight line through the origin would suggest proportionality.

• Choice C:

  • "None of the above" indicates that neither Choice A nor B exhibits proportionality.

Conclusion:

Without visual details of the graphs, it's difficult to definitively state which option shows a proportional relationship. Generally, if a graph shows a straight line through the origin, then it would be proportional.

If you'd like, you can describe the graphs in more detail or upload an image of them, and I can analyze them more accurately.

Would you like more details or have any questions?

Here are 5 related questions you might consider:

1. How can you determine the slope of a proportional relationship?
2. What does the constant of proportionality represent?
3. How does a non-proportional linear relationship differ from a proportional one?
4. Can a graph that does not pass through the origin ever be proportional?
5. How can you test whether a set of data points shows a proportional relationship?

Tip: In a proportional relationship, every point on the line has coordinates $(x, y)$ such that $y = kx$, where $k$ is the constant of proportionality.