Question: A plumber charges a $75 flat fee for jobs lasting up to an hour and $30 for each hour of labor after the first hour. Which expression models the cost of a job lasting $h$ hours, when $h$ is greater than 1?\n\n75 + 30h\n75 + 30(h - 1)\n75h + 30\n75(h - 1) + 30
1. **State the problem:** We need to find an expression that models the total cost of a plumber's job lasting $h$ hours, where $h > 1$. The plumber charges a flat fee of $75$ for the first hour and $30$ for each additional hour after the first hour.\n\n2. **Understand the charges:**\n- Flat fee for the first hour: $75$\n- Additional hours: $h - 1$ (since the first hour is already covered)\n- Cost per additional hour: $30$\n\n3. **Write the expression:**\nThe total cost $C$ is the flat fee plus the cost for the additional hours:\n$$C = 75 + 30(h - 1)$$\n\n4. **Simplify the expression (optional):**\n$$C = 75 + 30h - 30 = 45 + 30h$$\n\n5. **Interpretation:**\nThe expression $75 + 30(h - 1)$ correctly models the cost because it charges $75$ for the first hour and $30$ for each hour beyond the first.\n\n**Final answer:** $75 + 30(h - 1)$