Question

Which of these is a ratio table?
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 5, 6, 7.
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 4, 5, 7.
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 1, 4, 9.
A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 2, 4, 6.

Answer 1

A ratio table shows pairs of numbers that have a constant ratio, meaning that as one quantity increases or decreases, the other does so at a consistent rate.

To determine which of the listed tables is a ratio table, let's examine each one:

1. **Table 1**:
- A: 1, B: 5
- A: 2, B: 6
- A: 3, B: 7
- The ratios are 5/1, 6/2, and 7/3. These do not have a constant ratio.

2. **Table 2**:
- A: 1, B: 4
- A: 2, B: 5
- A: 3, B: 7
- The ratios are 4/1, 5/2, and 7/3. These do not have a constant ratio.

3. **Table 3**:
- A: 1, B: 1
- A: 2, B: 4
- A: 3, B: 9
- The ratios are 1/1, 4/2, and 9/3. These do not have a constant ratio.

4. **Table 4**:
- A: 1, B: 2
- A: 2, B: 4
- A: 3, B: 6
- The ratios are 2/1, 4/2, and 6/3. All simplify to 2, indicating a constant ratio.

The only table that represents a consistent ratio is the **4th table**. Thus, the answer is:

**A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 2, 4, 6.**