1. **State the problem:** Determine if the values in the table form a proportional relationship. The table is: | a | 12 | 8 | 4 | | b | 3 | 2 | 1 | 2. **Recall the definition of proportional relationship:** Two quantities are proportional if their ratios are equal. 3. **Calculate the ratios:** $$\frac{a}{b}$$ for each pair: - For 12 and 3: $$\frac{12}{3} = 4$$ - For 8 and 2: $$\frac{8}{2} = 4$$ - For 4 and 1: $$\frac{4}{1} = 4$$ 4. **Check if all ratios are equal:** All ratios equal 4, so the values are proportional. 5. **Conclusion:** Since the ratio $$\frac{a}{b}$$ is constant, the table represents a proportional relationship.