Subjects algebra

Lawn Care Charges

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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.