The problem asks us to determine whether the given table of $x$ and $y$ values represents a proportional relationship. The table contains the following pairs: (3, 1), (6, 2), and (9, 3).

1. Problem Description

The problem asks us to determine whether the given table of $x$ and $y$ values represents a proportional relationship. The table contains the following pairs: (3, 1), (6, 2), and (9, 3).

2. Solution Steps

A relationship is proportional if the ratio of $y$ to $x$ is constant for all pairs of values. In other words, $\frac{y}{x} = k$ for some constant $k$. We can check if the given table represents a proportional relationship by calculating the ratio $\frac{y}{x}$ for each pair of values.

For the first pair (3, 1), the ratio is $\frac{1}{3}$.

For the second pair (6, 2), the ratio is $\frac{2}{6} = \frac{1}{3}$.

For the third pair (9, 3), the ratio is $\frac{3}{9} = \frac{1}{3}$.

Since the ratio $\frac{y}{x}$ is $\frac{1}{3}$ for all pairs, the relationship is proportional.

3. Final Answer

Proportional