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

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

$\implies 6t - 4 \leq 36$

$6t\leq 36 + 4$

$6t \leq 40$

$t\leq \frac{40}{6}$

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,

$(0, \frac{40}{6}]$