Question

Which two ordered pairs represent a proportional relationship? A. (2, 2) and (2, 4) B. (1, 2) and (2, 4) C. (3, 3) and (2, 4) D. (1, 2) and (2, 6)

Answer 1

Option A, (2, 2) and (2, 4), represents a proportional relationship.

Step-by-step explanation:

A proportional relationship is when two quantities increase or decrease at the same rate.

To determine if the ordered pairs represent a proportional relationship, we need to check if the ratios of the y-values to the x-values are the same for both pairs.

Let's calculate the ratios for each pair.

For option A: (2, 2) and (2, 4), the ratio is 2/2 = 1.

For option B: (1, 2) and (2, 4), the ratio is 2/1 = 2.

For option C: (3, 3) and (2, 4), the ratio is 3/2 = 1.5.

For option D: (1, 2) and (2, 6), the ratio is 6/2 = 3.

Only option A has the same ratio, so the ordered pairs (2, 2) and (2, 4) represent a proportional relationship.