To rent a certain meeting room, a college charges a reservation fee of $31 and an additional fee of $5.40 per hour.The film club wants to spend at most $79.60 on renting the meeting room.

What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.

1 answer

The total cost of renting the meeting room can be represented by the inequality:
31 + 5.40t ≤ 79.60

Subtracting 31 from both sides:
5.40t ≤ 79.60 - 31
5.40t ≤ 48.60

Dividing both sides by 5.40:
t ≤ 48.60 / 5.40
t ≤ 9

Therefore, the film club can rent the meeting room for at most 9 hours.