1. **State the problem:** Mr. Gatto stays at a hotel for 3 nights at a rate of 182.50 per night. The hotel tax rate is 10.75%. We need to find the total cost including tax. 2. **Formula used:** Total cost = (Cost per night × Number of nights) + Tax Tax = (Cost per night × Number of nights) × Tax rate 3. **Calculate the subtotal (before tax):** $$\text{Subtotal} = 182.50 \times 3 = 547.50$$ 4. **Calculate the tax amount:** $$\text{Tax} = 547.50 \times \frac{10.75}{100} = 547.50 \times 0.1075 = 58.85625$$ 5. **Calculate the total cost:** $$\text{Total cost} = 547.50 + 58.85625 = 606.35625$$ 6. **Round to the nearest cent:** $$606.35625 \approx 606.36$$ **Final answer:** The total cost of the hotel room including tax is **606.36**.