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
[tex]\text{Total cost}=23+7t[/tex]
For $37, the total cost should be less than 37.
[tex]23+7t\leq 37[/tex]
[tex]7t\leq 37-23[/tex]
[tex]7t\leq 14[/tex]
Divide both sides by 2.
[tex]t\leq 2[/tex]
Since maximum value of t is 2, therefore the moving van can be rented for maximum 2 hours.
