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

Question

Responses

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

A B
1 2
2 4
3 6


A B 1 2 2 4 3 6

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

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

Answer 1

To determine which of the tables follow a ratio, we need to check if there is a consistent ratio (constant multiplicative relationship) between the values in A and B for each table.

Let's analyze each table:

1. Table 1:

   A    B
   1    1
   2    4
   3    9
   

   • Ratios:
     • \( \frac{1}{1} = 1 \)
     • \( \frac{2}{4} = 0.5 \)
     • \( \frac{3}{9} = \frac{1}{3} \)
   • No consistent ratio.

2. Table 2:

   A    B
   1    2
   2    4
   3    6
   

   • Ratios:
     • \( \frac{1}{2} = 0.5 \)
     • \( \frac{2}{4} = 0.5 \)
     • \( \frac{3}{6} = 0.5 \)
   • Consistent ratio of \(0.5\).

3. Table 3:

   A    B
   1    4
   2    5
   3    7
   

   • Ratios:
     • \( \frac{1}{4} = 0.25 \)
     • \( \frac{2}{5} = 0.4 \)
     • \( \frac{3}{7} \approx 0.428 \)
   • No consistent ratio.

4. Table 4:

   A    B
   1    5
   2    6
   3    7
   

   • Ratios:
     • \( \frac{1}{5} = 0.2 \)
     • \( \frac{2}{6} \approx 0.333 \)
     • \( \frac{3}{7} \approx 0.429 \)
   • No consistent ratio.

Conclusion

The only table that follows a consistent ratio is Table 2.