1. **State the problem:** Given the table with values of $d$ and $m$, find the formula for $m$ in terms of $d$. 2. **Analyze the data:** The table is: $$\begin{array}{c|c} d & m \\ \hline 6 & 54 \\ 7 & 63 \\ 8 & 72 \\ 9 & 81 \end{array}$$ 3. **Look for a pattern:** Notice that as $d$ increases by 1, $m$ increases by 9. 4. **Assume a linear relationship:** $m = kd$ where $k$ is a constant. 5. **Find $k$ using one pair:** Using $d=6$, $m=54$: $$m = kd \Rightarrow 54 = k \times 6$$ 6. **Solve for $k$:** $$k = \frac{54}{6}$$ 7. **Simplify the fraction:** $$k = \frac{\cancel{54}}{\cancel{6}} = 9$$ 8. **Write the formula:** $$m = 9d$$ 9. **Verify with other values:** For $d=7$, $m=9 \times 7 = 63$ which matches the table. **Final answer:** $$m = 9d$$