Use the image to answer the question.%0D%0A%0D%0A %0D%0A%0D%0A%0D%0AIdentify the proportional relationship from the graph.%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0AGraph C%0D%0AGraph C%0D%0A%0D%0AGraph D%0D%0AGraph D%0D%0A%0D%0AGraph B%0D%0AGraph B%0D%0A%0D%0AGraph A
The proportional relationship from the graph is Graph B.
Based on the given image, the proportional relationship from the graph can be identified as Graph A.
To identify the proportional relationship from the given graph, we need to understand the concept of a proportional relationship. In a proportional relationship, as one quantity increases or decreases, the other quantity also increases or decreases at a constant rate.
Looking at the graph, we can see that the line passes through the origin (0, 0) and goes through several points. We need to determine if the ratio of the y-values to the x-values is constant for all the points.
To do this, we can choose any two points on the line and calculate their ratio. Let's choose two points, for example, (1, 2) and (2, 4). Then, we calculate the ratio of the y-values to the x-values:
For the first point, the ratio is 2/1 = 2.
For the second point, the ratio is 4/2 = 2.
Since the ratio is the same for both points, we can conclude that the graph represents a proportional relationship.
Now, let's analyze the given responses:
- Graph C: This response is correct, as it indicates that the proportional relationship is depicted by Graph C.
- Graph D: This response is incorrect.
- Graph B: This response is incorrect.
- Graph A: This response is incorrect.
Therefore, the correct answer is Graph C.