1. The problem asks to write algebraic expressions for two descriptions. 2. For part (a), "The product of 15 and c" means multiply 15 by c. 3. The algebraic expression is $$15c$$. 4. For part (b), "10 less than the product of 15 and c" means take the product of 15 and c, then subtract 10. 5. The algebraic expression is $$15c - 10$$. 6. Remember, "product" means multiplication, and "less than" means subtraction. Final answers: (a) $$15c$$ (b) $$15c - 10$$