Rob says that this graph shows a proportional relationship. Is he correct? Explain.

es002-1.jpg

1 answer

I'm unable to view images, including the one labeled "es002-1.jpg." However, I can help you determine whether a graph represents a proportional relationship based on its characteristics.

In a proportional relationship:

  1. The graph is a straight line that passes through the origin (0,0). This indicates that as one variable increases or decreases, the other variable does so in a constant ratio.

  2. The ratio between the two variables remains constant. If you take any two points on the line, the ratio of the y-coordinate to the x-coordinate should be the same for all points.

  3. The equation of the line can be expressed in the form y = kx, where k is a constant.

If you can describe the graph or its features (e.g., does it pass through the origin? Is it a straight line?), I would be happy to help you further determine if Rob is correct in his assessment.