Question

Which of the tables follow a ratio?(1 point)
Responses

A B
1 5
2 6
3 7
A B 1 5 2 6 3 7

A B
2 6
3 9
4 12


A B 2 6 3 9 4 12

A B
1 4
2 8
3 9
A B 1 4 2 8 3 9

A B
1 1
2 4
3 9

Answer 1

To determine which of the tables follow a ratio, we'll check if the ratio of values in column B to column A remains constant for all corresponding pairs.

1. **First table:**
```
A B
1 5 -> 5/1 = 5
2 6 -> 6/2 = 3
3 7 -> 7/3 ≈ 2.33
```
The ratios are not constant.

2. **Second table:**
```
A B
2 6 -> 6/2 = 3
3 9 -> 9/3 = 3
4 12 -> 12/4 = 3
```
The ratios are constant (all equal to 3).

3. **Third table:**
```
A B
1 4 -> 4/1 = 4
2 8 -> 8/2 = 4
3 9 -> 9/3 = 3
```
The ratios are not constant (first two are 4, last is 3).

4. **Fourth table:**
```
A B
1 1 -> 1/1 = 1
2 4 -> 4/2 = 2
3 9 -> 9/3 = 3
```
The ratios are not constant.

From the analysis, **only the second table follows a constant ratio.**