5
QuizMultiple Choice

Proportional Relationships

Question 5 • WI-Mathematics Grade 8 A

Which explains whether or not the values in the table represent a direct variation?x461020y11.52.55

Answer
T
The table represents a direct variation because the values are proportional.
T
The table represents a direct variation because the values are nonproportional.
T
The table does not represent a direct variation because the values are proportional.
T
The table does not represent a direct variation because the values are nonproportional.

Explanation

For a direct variation, the ratio y/x must be constant for every pair of values. Here, 1/4 = 1.5/6 = 2.5/10 = 5/20 = 0.25. Since the values are proportional, the table represents a direct variation: choice A.

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