Question
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.
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.
Answers
GPT 3.5
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.
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.