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.
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.
To find the possible amounts of time for which the meeting room can be rented, we need to solve the inequality.
Let's start by setting up the inequality based on the given information:
Reservation fee = $31
Additional fee per hour = $5.4
Total cost of renting the meeting room = Reservation fee + Additional fee per hour * Number of hours
We need to solve this inequality for t (number of hours):
Total cost ≤ $79.60
Therefore, the inequality becomes:
31 + 5.4t ≤ 79.60
To solve this inequality for t, we will follow these steps:
Step 1: Subtract 31 from both sides of the inequality:
5.4t ≤ 79.60 - 31
Simplifying,
5.4t ≤ 48.60
Step 2: Divide both sides of the inequality by 5.4 to isolate t:
t ≤ 48.60 / 5.4
t ≤ 9
Therefore, the possible amounts of time for which the meeting room can be rented is t ≤ 9 hours.
To find the possible amounts of time for which the film club could rent the meeting room, we need to set up an inequality using the given information.
Let's assume t represents the number of hours the meeting room is rented.
The reservation fee is $31, and the additional fee is $5.40 per hour. So, the total cost of renting the meeting room for t hours would be:
Total cost = Reservation fee + Hourly fee
Total cost = $31 + ($5.40 * t)
We are given that the film club wants to spend at most $79.60 on renting the meeting room. Therefore, we can set up the inequality:
$31 + ($5.40 * t) ≤ $79.60
To solve this inequality for t, we can follow these steps:
1. Subtract $31 from both sides of the inequality:
($5.40 * t) ≤ $79.60 - $31
($5.40 * t) ≤ $48.60
2. Divide both sides of the inequality by $5.40:
t ≤ $48.60 / $5.40
t ≤ 9
Therefore, the film club can rent the meeting room for at most 9 hours.