Graphs of Proportional Relationships Practice

Complete this assessment to review what you’ve learned. It will not count toward your grade.
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Question
Identify each graph as proportional or non-proportional. Enter ‘1’ to indicate it is proportional or ‘2’ to indicate it is non-proportional.(2 points)

1 answer

To identify whether a graph represents a proportional or non-proportional relationship, you can use the following guidelines:

  • A proportional relationship is characterized by a straight line that passes through the origin (0,0). This indicates that as one quantity increases, the other quantity increases at a constant rate. The equation will take the form \( y = kx \), where \( k \) is a constant.

  • A non-proportional relationship may be represented by a line that does not pass through the origin or a curve, indicating that the relationship between the two quantities is not constant.

Without seeing the specific graphs, I can't provide definitive answers, but you can apply these criteria to each graph to determine their nature.

  • If the graph is a straight line that passes through the origin, mark it as 1 (proportional).
  • If the graph is a straight line that does not pass through the origin or has a curve, mark it as 2 (non-proportional).

Feel free to describe the graphs to receive more tailored guidance!