Use the image to answer the question.
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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Graph C
The proportional relationship from the graph is Graph D.
To answer this question, we need to look at the characteristics of each curve and identify the one that represents a proportional relationship.
- Curve A: This curve has a step-like structure, increases steadily, tapers to a point, and increases again. This does not represent a proportional relationship because the curve is not consistently increasing or decreasing in a regular pattern.
- Curve B: This curve begins at the origin and is an increasing concave down curve. It represents a non-linear relationship, and although it is increasing, it does not have a constant ratio, so it does not represent a proportional relationship.
- Curve C: This curve is a straight line with a unit slope, meaning it represents a constant rate of change. A constant rate of change indicates a proportional relationship. Therefore, Curve C represents a proportional relationship.
- Curve D: This curve is a straight line that initially starts at a point on the y-axis and then increases steadily. It does not represent a proportional relationship as it does not have a constant ratio.
Based on the characteristics described, the graph that represents a proportional relationship is Graph C.