1. The problem states that the price $P$ of a yogurt sundae depends on its weight $w$ in ounces, and is given by the formula: $$P = 2 + 0.5w$$ 2. We are asked to find the price of a sundae that weighs 8 ounces. 3. Substitute $w = 8$ into the formula: $$P = 2 + 0.5 \times 8$$ 4. Calculate the multiplication: $$P = 2 + 4$$ 5. Add the numbers: $$P = 6$$ 6. Therefore, the price of a sundae that weighs 8 ounces is 6 dollars.