Question

To rent a certain meeting room, a college charges a reservation fee of $31 and an additional fee of $7.40 per hour. The chemistry club wants to spend less than $97.60 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.

Answer 1

T= # of rental hours
Reservation Fee= $31
Per Hour Fee= $7.40


Multiply number of hours rented by the cost per hour, add that total to the reservation fee. The total needs to be less than $97.60.


Res Fee + ($ per hr * # hrs) < $97.60

$31 + $7.40t < $97.60
subtract 31 from both sides

7.40t < 66.60
divide both sides by 7.40

t < 9


ANSWER: To spend less than $97.60, they need to rent the room less than 9 hours.

Hope this helps! :)