Subjects algebra

Truck Miles 6E58B7

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We need to find the number of miles driven given a truck rental fee structure: a base fee plus a per-mile charge, and the total amount paid. 2. **Write the formula:** The total cost $C$ is given by $$C = \text{base fee} + (\text{cost per mile}) \times (\text{number of miles})$$ 3. **Identify known values:** Base fee = 19.99 Cost per mile = 0.89 Total cost paid = 189.98 4. **Set up the equation:** $$189.98 = 19.99 + 0.89 \times m$$ where $m$ is the number of miles. 5. **Isolate $m$:** Subtract 19.99 from both sides: $$189.98 - 19.99 = 0.89 \times m$$ $$169.99 = 0.89 \times m$$ 6. **Solve for $m$ by dividing both sides by 0.89:** $$m = \frac{169.99}{0.89}$$ Show canceling common factors (conceptual): $$m = \frac{\cancel{169.99}}{\cancel{0.89}}$$ 7. **Calculate the value:** $$m \approx 191.01$$ 8. **Interpretation:** The number of miles driven is approximately 191 miles. **Final answer:** $$\boxed{191 \text{ miles}}$$