1. **State the problem:** We need to find the daily fee for renting a moving truck given that the total cost includes a daily fee plus $0.50 per mile driven. 2. **Define variables and write the equation:** Let $d$ be the daily fee in dollars. The cost equation is: $$\text{Total cost} = d + 0.50 \times \text{miles driven}$$ 3. **Substitute the known values:** Given the total cost is 64 dollars when driven 48 miles: $$64 = d + 0.50 \times 48$$ 4. **Calculate the mileage charge:** $$0.50 \times 48 = 24$$ So the equation becomes: $$64 = d + 24$$ 5. **Solve for $d$:** $$d = 64 - 24$$ $$d = 40$$ 6. **Interpretation:** The daily fee for renting the truck is $40.