1. **State the problem:** We need to find the difference in the amounts Susan and Jim charge for 10 hours of lawn care work.
2. **Analyze Susan's charges:** From the table, Susan's charges are proportional to hours worked. For example, at 2 hours, she charges 48 dollars.
3. **Find Susan's hourly rate:** Use the formula for rate: $$\text{Rate} = \frac{\text{Amount Charged}}{\text{Hours Worked}}$$
Calculate Susan's rate:
$$\frac{48}{2} = 24$$ dollars per hour.
4. **Calculate Susan's charge for 10 hours:**
$$24 \times 10 = 240$$ dollars.
5. **Analyze Jim's charges:** From the graph, Jim charges 20 dollars per hour (since at 1 hour he charges 20 dollars, at 2 hours 40 dollars, etc.).
6. **Calculate Jim's charge for 10 hours:**
$$20 \times 10 = 200$$ dollars.
7. **Find the difference:**
$$240 - 200 = 40$$ dollars.
**Answer:** The difference in charges for 10 hours is 40 dollars, which corresponds to option D.
Lawn Care Charges
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.