Question

Which sets of ordered pairs show equivalent ratios? Use the grid to help you. Check all that apply.

(1, 2), (2, 3), (4, 7)
(2, 2), (4, 4), (6, 6)
(3, 1), (4, 1), (5, 1)
(4, 1), (8, 2), (12, 3)
(2, 1), (4, 3), (5, 4)

Answer 1

(2, 2), (4, 4), (6, 6)

(4, 1), (8, 2), (12, 3)

Explanation:

These are the only two where the ratios are the same for each ordered pair

If you plot them you will get a straight line with non-zero slope

The others do not show this characteristic

First one has ratios
2/1, 3/2 and 7/4 not same

Third one has ratios

1/3, 1/4, 1/5

Last one has ratios

1/2, 3/4 and 4/5

Hope that helps

Answer 2

The answer is B and C.

Explanation:

The pairs (2, 2), (4, 4), and (6, 6) have ratios of 1 and the pairs (4, 1), (4, 1), (8, 2), and (12, 3) have ratios of 4. The other pairs do not have similar ratios.