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

Responses

A B
1 5
2 6
3 7

A B
1 4
2 8
3 9

A B
2 6
3 9
4 12


A B
1 1
2 4
3 9

1 answer

To determine which tables follow a ratio, we can analyze each table to see if the values of A and B maintain a consistent ratio across the entries.

  1. Table 1:

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

    Ratios:

    • 1/5
    • 2/6 (which simplifies to 1/3)
    • 3/7 This table does not maintain a consistent ratio.

  2. Table 2:

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

    Ratios:

    • 1/4
    • 2/8 (which simplifies to 1/4)
    • 3/9 (which simplifies to 1/3) This table does not maintain a consistent ratio.

  3. Table 3:

    A | B
------
2 | 6
3 | 9
4 | 12

    Ratios:

    • 2/6 (which simplifies to 1/3)
    • 3/9 (which simplifies to 1/3)
    • 4/12 (which simplifies to 1/3) This table maintains a consistent ratio of 1/3.

  4. Table 4:

    A | B
------
1 | 1
2 | 4
3 | 9

    Ratios:

    • 1/1
    • 2/4 (which simplifies to 1/2)
    • 3/9 (which simplifies to 1/3) This table does not maintain a consistent ratio.

Conclusion: The only table that maintains a consistent ratio is Table 3.