1. The problem asks if the relationship between $x$ and $y$ in the table is proportional and to find the constant of proportionality if it exists. 2. A proportional relationship means $y = kx$ for some constant $k$, and the graph must be a line through the origin $(0,0)$. 3. From the table, the point $(0,3)$ is given, which is not at the origin. This already shows the relationship is not proportional. 4. To confirm, check the ratios $\frac{y}{x}$ for points where $x \neq 0$: $$\frac{y}{x} = \frac{1}{-1} = -1, \quad \frac{5}{1} = 5, \quad \frac{7}{2} = 3.5, \quad \frac{9}{3} = 3, \quad \frac{11}{4} = 2.75$$ 5. Since these ratios are not equal, there is no constant $k$ such that $y = kx$. 6. Therefore, the relationship is not proportional and there is no constant of proportionality. Final answer: No constant of proportionality exists because the ratios $\frac{y}{x}$ are not constant and the graph does not pass through the origin.