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

Question

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.