Question

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

mr024-1.jpg
(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

To determine which sets of ordered pairs show equivalent ratios, we need to analyze each set of ordered pairs. Ratios are equivalent if they can be simplified to the same fraction or if they produce the same output for a given input.

1. **(1, 2), (2, 3), (4, 7)**
- The ratios are 1:2, 2:3, and 4:7.
- These ratios are not equivalent.

2. **(2, 2), (4, 4), (6, 6)**
- The ratios are 2:2 (or 1:1), 4:4 (or 1:1), and 6:6 (or 1:1).
- These ratios are equivalent.

3. **(3, 1), (4, 1), (5, 1)**
- The ratios are 3:1, 4:1, and 5:1.
- These ratios are not equivalent.

4. **(4, 1), (8, 2), (12, 3)**
- The ratios are 4:1, 8:2 (which simplifies to 4:1), and 12:3 (which simplifies to 4:1).
- These ratios are equivalent.

5. **(2, 1), (4, 3), (5, 4)**
- The ratios are 2:1, 4:3, and 5:4.
- These ratios are not equivalent.

So, the sets of ordered pairs that show equivalent ratios are:

- **(2, 2), (4, 4), (6, 6)**
- **(4, 1), (8, 2), (12, 3)**