11
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Graphing Proportional Relationships

Question 11 • AL-Mathematics 7 A

Use the interactive graph to plot each set of points. Which sets represent proportional relationships? Check all that apply.

Answer
A
(3, 1), (6, 2), (9, 3)
B
(2, 4), (4, 6), (7, 9)
C
(1.5, 3), (3, 6), (4, 8)
D
(3, 1), (4, 3), (8, 6)

Explanation

A proportional relationship has the same ratio of y to x for every point. In A, the ratios are 1/3, 2/6 = 1/3, and 3/9 = 1/3, so the points are proportional. In C, the ratios are 3/1.5 = 2, 6/3 = 2, and 8/4 = 2, so those points are proportional too. The ratios are not constant in B or D.

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