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:**
$$\boxed{191 \text{ miles}}$$
Truck Miles 6E58B7
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