To compare the ratios 2:5 and 3:4, we can look for tables that list multiples of these ratios and allow us to see their values side by side for comparison.
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The top table starts at two and five, ends at 10 and 25. The bottom table starts at three and four, ends at 15 and 20.
- Top Table: 2/5 = 0.4, 4/10 = 0.4, 6/15 = 0.4, 8/20 = 0.4, 10/25 = 0.4 (all equivalent to the ratio 2:5)
- Bottom Table: 3/4 = 0.75, 6/8 = 0.75, 9/12 = 0.75, 12/16 = 0.75, 15/20 = 0.75 (all equivalent to the ratio 3:4)
- This table can be used to compare the ratios clearly.
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The top table starts at two and five and ends at six and 25. The bottom table starts at three and four, ends at seven and 20.
- Top Table: 2/5 = 0.4, 4/10 = 0.4, 6/15 = 0.4, 8/20 = 0.4, 10/25 = 0.4 (all equivalent to the ratio 2:5)
- Bottom Table: 3/4 = 0.75, 6/8 = 0.75, (but may not adequately capture the entire range)
- This table could work but may not provide full clarity.
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The top table starts with 2 and 5 and ends with 4 and 10. The bottom table starts with 3 and 4 and ends with 6 and 8.
- Top Table: 2/5 = 0.4, 4/10 = 0.4, (limited scope)
- Bottom Table: 3/4 = 0.75, 6/8 = 0.75
- While it allows some comparison, the limited range may not be effective for detailed analysis.
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The top table starts with 2 and 5 and ends with 10 and 25, the bottom table starts with 3 and 4 and ends with 16 and 20.
- Top Table: 2/5 = 0.4, to 10/25 = 0.4
- Bottom Table: 3/4 = 0.75, up to 16/20 = 0.8
- This table provides good comparisons given the range, but we can observe that both ratios are different, but the boundaries are helpful.
Based on the clarity and level of detail for comparing the ratios, the best choice is the first option because it clearly shows the multipliers throughout the range, allowing for easy and clear comparison of both ratios.
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