Answer:
[tex]t\le 4[/tex]
Step-by-step explanation:
Let t hours be the number of hours needed to rent the room. If one hour costs $8.30, then t hours cost $8.30t. The reservation fee is $34, so the total cost is
[tex]\$(34+8.30t).[/tex]
The history club wants to spend $67.20, thus
[tex]34+8.30t\le67.20\\ \\8.30t\le 67.20-34\\ \\8.30t\le 33.20\\ \\t\le \dfrac{33.20}{8.30}=\dfrac{332}{83}=4[/tex]
The maximum possible whole number of hours is 4 hours.
