Which of the following tables could you use to compare the ratios 2:5 and 3:4 ?(1 point)

Question

Responses

2 5
4 10
6 15
8 20
10 25
3 4
6 8
9 12
12 16
15 20
2 5 4 10 6 15 8 20 10 25 3 4 6 8 9 12 12 16 15 20

2 5
6 15
10 25
3 4
9 12
16 20
2 5 6 15 10 25 3 4 9 12 16 20

2 5
4 10
3 4
6 8
2 5 4 10 3 4 6 8

2 5
3 10
4 15
5 20
6 25
3 4
4 8
5 12
6 16
7 20
2 5 3 10 4 15 5 20 6 25 3 4 4 8 5 12 6 16 7 20
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Answer 1

To compare the ratios \( \frac{2}{5} \) and \( \frac{3}{4} \), we can look for matching pairs that represent these ratios in the tables provided.

1. For the ratio \( \frac{2}{5} \): This can be represented by the pairs:

   • (2, 5)
   • (4, 10)
   • (6, 15)
   • (8, 20)
   • (10, 25)

2. For the ratio \( \frac{3}{4} \): This can be represented by the pairs:

   • (3, 4)
   • (6, 8)
   • (9, 12)
   • (12, 16)
   • (15, 20)

To effectively compare the two ratios, the table must contain both sets of pairs listed above.

Upon reviewing the provided options:

1. The first option contains:

   • (2, 5), (4, 10) for \( \frac{2}{5} \)
   • (3, 4), (6, 8) for \( \frac{3}{4} \)

   Thus, this option is valid for comparison.

2. The second option contains:

   • (2, 5), (6, 15) for \( \frac{2}{5} \)
   • (3, 4), (9, 12) for \( \frac{3}{4} \)

   This option is also valid.

3. The third option contains:

   • (2, 5), (4, 10) for \( \frac{2}{5} \)
   • (3, 4), (6, 8) for \( \frac{3}{4} \)

   This option is valid too.

4. The fourth option contains:

   • (2, 5), (3, 10), and others for \( \frac{2}{5} \)
   • (3, 4), (4, 8), and others for \( \frac{3}{4} \)

   This option contains incorrect representations (3, 10 does not represent \( \frac{2}{5} \)), therefore it is not valid for comparison.

The options that can be used to compare the ratios \( \frac{2}{5} \) and \( \frac{3}{4} \) are the first, second, and third options.