1. **State the problem:** We need to determine if the variables $x$ and $y$ are proportional based on the graph provided. 2. **Recall the definition of proportionality:** Two variables $x$ and $y$ are proportional if there exists a constant $k$ such that $$y = kx$$ and the graph passes through the origin $(0,0)$. 3. **Analyze the graph:** The line passes through the origin and points approximately at $(5, 1.7)$ and $(10, 3.3)$. 4. **Calculate the constant of proportionality $k$ using the points:** $$k = \frac{y}{x}$$ Using point $(5, 1.7)$: $$k = \frac{1.7}{5} = 0.34$$ Using point $(10, 3.3)$: $$k = \frac{3.3}{10} = 0.33$$ 5. **Check consistency:** The values of $k$ are very close, indicating $y$ is proportional to $x$. 6. **Write the proportional relationship:** $$y \approx 0.34x$$ **Final answer:** - $x$ and $y$ are proportional. - $y$ is approximately $0.34$ times $x$.