19
QuizMultiple Choice

Unit Test — Unit test

Question 19 • TX-College Prep Math A

Ming wrote the table of points below. xy51010201530Which explains whether or not Ming has described a proportional relationship, and why?

Answer
A
Ming has described a proportional relationship because the ordered pairs are linear and the line passes through the origin.
B
Ming has not described a proportional relationship. Although it is a linear relationship, it does not pass through the origin.
C
Ming has not described a proportional relationship. Although it passes through the origin, it is not a linear relationship.
D
Ming has described a proportional relationship because the line does not pass through the origin.

Explanation

The points are (5, 10), (10, 20), and (15, 30). For each pair, y/x = 2, so the relationship follows y = 2x, which is linear and would pass through (0, 0). Therefore, Ming described a proportional relationship: the choice saying it is linear and passes through the origin.

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