Question

Which of the following tables represents a linear relationship that is also proportional? x −3 0 3 y 0 2 4 x −4 −2 0 y −2 0 2 x −4 0 4 y 1 0 −1 x −1 0 1 y −5 −3 −1

Answer 1

(c) x −4 0 4 y 1 0 −1

Explanation:

You want to identify the table that represents a proportional relationship.

Proportion

A proportional relationship can be described by the equation ...

y = kx

This defines a straight line that passes through the origin. That is, the point (0, 0) will be one of the ordered pairs of the relation.

Tables

The offered tables have the ordered pairs with x=0 of ...

a. (0, 2)

b. (0, 2)

c. (0, 0) . . . . . . the one we're looking for

d. (0, -3)

Table C represents a linear, proportional relationship.

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