Question

Which table of ordered pairs represents a proportional relationship?

Answer 1

The last one y = -4 x

Answer: Last choice

The first one is y=x^2

The second one almost is y=2x but the last entry doesn't work.

The third one doesn't have any apparent proportionality

Answer 2

The way to find out is, for each table, divide each y-coordinate by its corresponding x-coordinate. If all the divisions give you the same answer, that relationship is proportional.

A. 4/-2 = -2

16/-4 = -4

Two divisions are already different. A. is not the answer.

B. -8/-4 = 2

-12/-6 = 2

-18/-8 = 2.25

Not all quotients are equal. B. is not the answer.

C. 5/-3 = -5/3

3/-5 = -3/5

Quotients are not equal. C. is not the answer.

D. 12/-3 = -4

24/-6 = -4

36/-9 = -4

All quotients are equal.

Answer: D.