1. **State the problem:** An employee earns 175 for 15 hours of work at a constant hourly rate. We need to find how much the employee will earn in 18 hours. 2. **Formula:** Earnings = Hourly rate \times Hours worked. 3. **Find the hourly rate:** $$\text{Hourly rate} = \frac{175}{15}$$ 4. **Simplify the hourly rate:** $$\frac{175}{15} = \frac{\cancel{175}^{\times 7}}{\cancel{15}^{\times 3}} = \frac{35}{3}$$ 5. **Calculate earnings for 18 hours:** $$\text{Earnings} = \frac{35}{3} \times 18$$ 6. **Simplify the multiplication:** $$\frac{35}{3} \times 18 = 35 \times \frac{\cancel{18}^{\times 6}}{\cancel{3}^{\times 1}} = 35 \times 6 = 210$$ 7. **Final answer:** The employee will earn 210 in 18 hours.