1. **State the problem:** A customer receives 1 free ticket for every 7 tickets purchased. We want to find how many free tickets a customer receives for purchasing 63 tickets. 2. **Identify the relationship:** From the table, the number of free tickets is proportional to the number of tickets purchased. Specifically, for every 7 tickets purchased, 1 free ticket is given. 3. **Write the formula:** Let $x$ be the number of tickets purchased and $f$ be the number of free tickets. $$f = \frac{x}{7}$$ 4. **Calculate the free tickets for 63 tickets:** $$f = \frac{63}{7}$$ 5. **Simplify the fraction:** $$f = \frac{\cancel{63}}{\cancel{7}} = 9$$ 6. **Interpretation:** The customer receives 9 free tickets when purchasing 63 tickets. **Final answer:** $$\boxed{9}$$