Question

The cost to rent a moving van is $23 plus as a additional $7 per hour. For $37, what is the maximum amount of time that a moving van can be rented for?

Answer 1

Given:

Fixed cost to rent a moving van = $23

Additional cost = $7 per hour.

To find:

For $37, the maximum amount of time that a moving van can be rented for.

Solution:

Let the moving van be rented of t hours.

Total cost = Fixed cost + Additional cost

`\text{Total cost}=23+7t`

For $37, the total cost should be less than 37.

`23+7t\leq 37`

`7t\leq 37-23`

`7t\leq 14`

Divide both sides by 2.

`t\leq 2`

Since maximum value of t is 2, therefore the moving van can be rented for maximum 2 hours.