2 Tables. A 2-column table with 4 rows is titled Table 1. Column 1 has entries 2, 4, 6, 8. Column 2 has entries 3, 6, 9, 12. A 2-column table with 4 rows is titled Table 2. Column 1 has entries 5, 10, 15, 20. Column 2 has entries 6, 12, 18, 24.

Question

Compare the ratios from the tables.

2:3 is
5:6
10:12 is
6:9
The ratios in Table 1 are
the ratios in Table 2.

Answer 1

To compare the ratios from Table 1 and Table 2, we will look at the entries in each table and calculate their ratios for better understanding.

Table 1:

• Row 1: 2:3
• Row 2: 4:6 (which simplifies to 2:3)
• Row 3: 6:9 (which simplifies to 2:3)
• Row 4: 8:12 (which simplifies to 2:3)

Table 2:

• Row 1: 5:6
• Row 2: 10:12 (which simplifies to 5:6)
• Row 3: 15:18 (which simplifies to 5:6)
• Row 4: 20:24 (which simplifies to 5:6)

Comparison:

• The ratios in Table 1 (2:3) are consistent across all entries (specifically, they are equivalent to 2:3).
• The ratios in Table 2 (5:6) are also consistent across all entries but differ from the ratios in Table 1.

In conclusion:

• The ratios in Table 1 (2:3) are not equal to the ratios in Table 2 (5:6). Each set of ratios follows a different scale and cannot be directly compared in terms of equality.

Thus, the final statement can be articulated as: The ratios in Table 1 (all 2:3) are not equivalent to the ratios in Table 2 (all 5:6).