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A graph with x and y axes shows four curves labeled A, B, C, and D. Curve A has a step-like structure initiating at the origin, increasing steadily, tapering to a point, and again increasing. Curve B begins at the origin and is an increasing concave down curve. Curve C is a straight line with a unit slope. Curve D is a straight line that initiates at a point on the y-axis and then increases steadily.
Identify the proportional relationship from the graph.

(1 point)
Responses

Graph D
Graph D

Graph B
Graph B

Graph A
Graph A

Graph C
Graph C
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1 answer

The proportional relationship in the context of a graph is typically represented by a straight line through the origin (0,0), indicating a constant ratio between the x and y values. Among the curves described:

  • Curve A has a step-like structure and does not represent a constant ratio.
  • Curve B is an increasing concave down curve, which also does not represent a constant ratio.
  • Curve C is a straight line with a unit slope, which indicates a consistent proportional relationship.
  • Curve D is a straight line that starts above the origin, indicating a relationship that does not go through the origin.

Therefore, the correct response indicating the proportional relationship is:

Graph C