1. **State the problem:** Riley's Rug Warehouse buys rugs for 82 each. The manager marks them up by 150%, then adds a 10% sales tax. We need to find the final price a customer pays for one rug. 2. **Understand the markup:** A 150% markup means the price increases by 150% of the original cost. The new price before tax is calculated by: $$\text{Price after markup} = \text{Original price} + 1.5 \times \text{Original price} = (1 + 1.5) \times 82 = 2.5 \times 82$$ 3. **Calculate the price after markup:** $$2.5 \times 82 = 205$$ 4. **Add the sales tax:** A 10% sales tax means the customer pays 110% of the marked-up price: $$\text{Final price} = 205 + 0.10 \times 205 = 1.10 \times 205$$ 5. **Calculate the final price:** $$1.10 \times 205 = 225.5$$ 6. **Conclusion:** The customer pays 225.5 for one rug. **Answer: C. 225.50**