To identify a table that demonstrates a proportional relationship, it needs to show that the ratio between two quantities remains constant. In other words, if you have two variables, \( x \) and \( y \), a proportional relationship can be expressed as \( \frac{y}{x} = k \), where \( k \) is a constant.
Here’s an example of what such a table might look like:
| \( x \) | \( y \) | |---------|---------| | 1 | 2 | | 2 | 4 | | 3 | 6 | | 4 | 8 |
In this table:
- For \( x = 1 \), \( y = 2 \) → \( \frac{2}{1} = 2 \)
- For \( x = 2 \), \( y = 4 \) → \( \frac{4}{2} = 2 \)
- For \( x = 3 \), \( y = 6 \) → \( \frac{6}{3} = 2 \)
- For \( x = 4 \), \( y = 8 \) → \( \frac{8}{4} = 2 \)
Since the ratio \( \frac{y}{x} \) is consistent (equal to 2) for all pairs, this table demonstrates a proportional relationship.
If you have specific tables to evaluate, feel free to share, and I can help you determine which one shows a proportional relationship.
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