1. **State the problem:** Find the constant of proportionality, complete the table, and write the equation for the proportional relationship given the points: $$\begin{array}{c|c} x & y \\ \hline 0 & 0 \\ 3 & 2.7 \\ 7 & 6.3 \\ 10 & 9 \end{array}$$ 2. **Formula and rules:** A proportional relationship between $x$ and $y$ can be expressed as: $$y = kx$$ where $k$ is the constant of proportionality. 3. **Find $k$ using any point (except the origin):** Using point $(3, 2.7)$: $$k = \frac{y}{x} = \frac{2.7}{3} = 0.9$$ 4. **Verify $k$ with other points:** Using $(7, 6.3)$: $$k = \frac{6.3}{7} = 0.9$$ Using $(10, 9)$: $$k = \frac{9}{10} = 0.9$$ All points confirm $k = 0.9$. 5. **Complete the equation:** $$y = 0.9x$$ 6. **Complete the table:** $$\begin{array}{c|c} x & y \\ \hline 0 & 0 \\ 3 & 2.7 \\ 7 & 6.3 \\ 10 & 9 \end{array}$$ **Final answer:** The constant of proportionality is $k = 0.9$ and the equation is: $$y = 0.9x$$