Question

Justin wants to rent a boat and spend at most 36. The boat costs 6 per hour, and Justin has a discount coupon for 4 off. What are the possible numbers of hours Justin could rent the boat?

Answer 1

The possible numbers of hours Justin could rent the boat (0, 40/6]

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

`\implies 6t - 4 \leq 36`

`6t\leq 36 + 4`

`6t \leq 40`

`t\leq (40)/(6)`

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,

`(0, (40)/(6)]`