Question

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Answer 1

`t\le 4`

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

`\$(34+8.30t).`

The history club wants to spend $67.20, thus

`34+8.30t\le67.20\\ \\8.30t\le 67.20-34\\ \\8.30t\le 33.20\\ \\t\le (33.20)/(8.30)=(332)/(83)=4`

The maximum possible whole number of hours is 4 hours.