1. **Problem:** Represent "6 more than four times the number n" as an algebraic expression. 2. **Formula and Explanation:** "Four times the number n" means multiplying n by 4, which is $4n$. "6 more than" means adding 6 to that product. 3. **Expression:** $$4n + 6$$ 4. **Check options:** a. $6n + 4$ (incorrect, multiplies n by 6 and adds 4) b. $4n - 6$ (incorrect, subtracts 6 instead of adding) c. $4n + 6$ (correct) d. $6n + 4$ (same as a, incorrect) **Final answer:** $4n + 6$