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To determine if there’s a proportional relationship between \( x \) and \( y \) in these tables, we need to check if the ratio \( \frac{y}{x} \) remains constant for each pair of \( x \) and \( y \) values.

**First Table:**
- \( \frac{4}{1} = 4 \)
- \( \frac{8}{2} = 4 \)
- \( \frac{20}{5} = 4 \)

Since the ratio \( \frac{y}{x} = 4 \) is constant, the first table shows a proportional relationship.

**Second Table:**
- \( \frac{1}{5} = 0.2 \)
- \( \frac{2}{10} = 0.2 \)
- \( \frac{3}{15} = 0.2 \)

The ratio \( \frac{y}{x} = 0.2 \) is also constant, so the second table also shows a proportional relationship.

Therefore, both tables display a proportional relationship between \( x \) and \( y \).

Would you like more details or have questions? 

### Related Questions:
1. How do you identify a proportional relationship from a table?
2. What are some real-world examples of proportional relationships?
3. Can a table show a proportional relationship if one ratio is slightly off due to rounding?
4. How do you calculate the constant of proportionality in word problems?
5. What’s the difference between a proportional and a linear relationship?

### Tip:
Always ensure each \( \frac{y}{x} \) ratio is consistent across the table to confirm proportionality.

Select the tables that show a proportional relationship between x and y.

Learn how to identify proportional relationships between x and y by checking the consistency of the y/x ratio in given tables. Explore step-by-step explanations and examples suitable for students in Grades 6-7.

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