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

A B
1 4
2 5
3 7
A B 1 4 2 5 3 7

A B
1 2
2 4
3 6


A B 1 2 2 4 3 6

Answer 1

To determine which of the tables follows a ratio, we should look for a relationship between the values in columns A and B. A ratio means that for every unit increase in column A, the corresponding value in column B increases in a consistent proportion.

Let's analyze the tables one by one:

1. First Table:

   A B
   1 5
   2 6
   3 7
   

   The differences in column B are 1 (from 5 to 6 and from 6 to 7). This does not show a consistent ratio.

2. Second Table:

   A B
   1 1
   2 4
   3 9
   

   The differences in column B are 3 (from 1 to 4) and 5 (from 4 to 9), which also does not show a consistent ratio.

3. Third Table:

   A B
   1 4
   2 5
   3 7
   

   The differences are +1 (from 4 to 5) and +2 (from 5 to 7), again showing no constant ratio.

4. Fourth Table:

   A B
   1 2
   2 4
   3 6
   

   The differences are +2 (from 2 to 4) and +2 (from 4 to 6). This shows a consistent increase, and we can see that B = 2A. Thus, this table follows a strict ratio of 2:1.

Based on the analysis above, the fourth table follows a ratio (specifically 2:1).