The cost​ C, in​ dollars, of renting a moving truck for a day is given by the function C(x) = 0.20x+45 where x is the number of miles driven.

The cost function provided is $ C(x) = 0.20x + 45 $, where:
- $ C(x) $ is the total cost in dollars of renting the moving truck.
- $ x $ is the number of miles driven.
- The constant $ 45 $ represents a base rental fee, regardless of mileage.
- The term $ 0.20x $ represents the additional cost for driving $ x $ miles at a rate of $0.20 per mile.

### Explanation:
- **Base cost:** No matter how many miles are driven, you must pay a flat fee of $45.
- **Mileage cost:** For every mile driven, there is an extra charge of $0.20. So, driving $ x $ miles adds $ 0.20x $ dollars to the base cost.

### Example Calculations:
1. If you drive 100 miles, the cost would be:
   \[
   C(100) = 0.20 \times 100 + 45 = 20 + 45 = 65 \text{ dollars.}
   \]
2. If you drive 250 miles, the cost would be:
   \[
   C(250) = 0.20 \times 250 + 45 = 50 + 45 = 95 \text{ dollars.}
   \]

Would you like more details on how the function behaves, or do you have any questions?

### Related Questions:
1. What is the cost of driving 150 miles?
2. At how many miles driven will the total cost be $100?
3. How does the cost change for each additional 10 miles driven?
4. What would the total cost be if no miles were driven?
5. How does this function compare to a different pricing model with a higher per-mile cost but a lower base fee?

### Tip:
Always double-check whether the cost includes any taxes or additional fees not represented in the function when renting vehicles.

Understand how to calculate the total cost of renting a moving truck using the linear function C(x) = 0.20x + 45, where x represents the miles driven. Learn step-by-step calculations, including examples for 100 and 250 miles. Suitable for students in Grades 7-9.

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