15
QuizMultiple Choice

Unit Test — Unit test

Question 15 • TX-College Prep Math A

Mika wrote the table of points below. xy023568Which explains whether or not Mika has described a proportional relationship, and why?

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

Explanation

The table gives the points (0, 2), (3, 5), and (6, 8). Each time x increases by 3, y increases by 3, so the points lie on a line. But when x = 0, y = 2, so the line does not pass through the origin; therefore, the relationship is not proportional. Choice B correctly describes this.

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