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 A
Graph A
Graph C
Graph C
Graph D
Graph D
Graph B
Graph B
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Graph C
According to the description provided, the proportional relationship from the graph is Graph C.
To identify the proportional relationship from the graph, we need to look for a line or curve that shows a constant ratio between the x and y values.
Looking at the options of graphs A, B, C, and D:
- Graph A has a step-like structure, which means it is not a constant ratio.
- Graph B is an increasing concave down curve, which means it is not a constant ratio.
- Graph C is a straight line with a unit slope. The fact that it is a straight line indicates a constant ratio between x and y, which means it represents a proportional relationship.
- Graph D is a straight line that increases steadily but does not start at the origin, indicating a non-zero initial value. It does not represent a proportional relationship.
Therefore, the correct answer is Graph C.