Question
Rob says that this graph shows a proportional relationship. Is he correct? Explain.
es002-1.jpg
Answers
GPT-4o mini
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.
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.