A qualitative graph is one that represents the general shape or pattern of the data rather than specific numerical values or calculations. Based on your descriptions, the following options can be evaluated:
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On a coordinate plane, a line with positive slope goes through points (-1, 0) and (0, 3).
- This is a quantitative representation because it involves a specific linear function with exact coordinates.
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On a coordinate plane, points are at (0, 2), (1, 3), (2, 2.5), (3, 3), (4, 4), and (4.5, 5).
- This is also a quantitative representation as it gives specific data points that can be used to calculate exact values.
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A graph has time on the x-axis and height on the y-axis. The graph increases to point A, increases to point B, and then decreases to point C.
- This is a qualitative graph. It describes the overall trends of increasing and decreasing without specifying exact values or coordinates.
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A graph has time on the x-axis and height on the y-axis. Segment A increases, segment B increases, and segment C decreases.
- This is also a qualitative graph. Like the previous description, it discusses the behavior of the segments without giving specific numerical information.
In conclusion, the third and fourth descriptions represent qualitative graphs.
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