Question

A college student wanted to rent a truck to bring some furniture up to his dorm room at college. The amount of money that the truck will cost (c) is represented by the function c = 0.85m + 19, where m is the amount of miles that the truck will be driven.

Determine the cost per mile to drive the truck as well as the initial cost to rent the truck. Select 0.85, 19 or 19.85 for each cost.
Costs 0.85 19 19.85
per–mile cost
initial cost to rent the truck

Answer 1

To analyze the function \( c = 0.85m + 19 \):

1. **Cost per mile (variable cost)**: This is represented by the coefficient of \( m \) in the equation. In this case, \( 0.85 \) is the cost per mile to drive the truck.

2. **Initial cost to rent the truck (fixed cost)**: This is represented by the constant term in the equation. Here, that value is \( 19 \).

Putting it all together:

- **Cost per mile**: \( 0.85 \)
- **Initial cost to rent the truck**: \( 19 \)

So the selections are:

- Per-mile cost: **0.85**
- Initial cost to rent the truck: **19**