Math Problem Statement

Does this graph represent a proportional relationship?

Solution

The graph in the image shows a straight line passing through the origin (0, 0) on a coordinate plane. Since the line goes through the origin and is straight, this indicates a proportional relationship between the variables on the x-axis and y-axis. In a proportional relationship, the ratio between the two variables remains constant, and the graph of such a relationship is always a straight line that passes through the origin.

So, the correct answer is Yes, this graph represents a proportional relationship.

Would you like further details or have any questions?

Here are 5 related questions to explore:

  1. How can you identify a proportional relationship from a graph?
  2. What is the difference between a proportional and a linear relationship?
  3. What is the equation form of a proportional relationship?
  4. What happens to the proportionality if the line does not pass through the origin?
  5. How can you calculate the constant of proportionality from a graph?

Tip: In a proportional relationship, the slope of the line represents the constant of proportionality, which is the ratio between the dependent and independent variables.

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Math Problem Analysis

Mathematical Concepts

Proportional Relationships
Linear Graphs

Formulas

y = kx, where k is the constant of proportionality

Theorems

In a proportional relationship, the line passes through the origin (0,0) and is straight.

Suitable Grade Level

Grades 6-8