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.