Answer:
The possible numbers of hours Justin could rent the boat (0, 40/6]
Step-by-step explanation:
Let t represents the number of hours the boat is used,
∵ The boat costs 6 per hour,
So, the original cost of boat = 6t
Now, after getting $ 4 off
Final cost = 6t - 4
Now, final cost ≤ $ 36
[tex]\implies 6t - 4 \leq 36[/tex]
[tex]6t\leq 36 + 4[/tex]
[tex]6t \leq 40[/tex]
[tex]t\leq \frac{40}{6}[/tex]
Also, number of hours can not be negative
⇒ t ≥ 0
But, he must use the boat ⇒ t ≠ 0
Hence, the possible numbers of hours Justin could rent the boat,
[tex](0, \frac{40}{6}][/tex]