To rent a certain meeting room, a college charges a reservation fee of $46 and an additional fee of $5.40 per hour. The history club wants to spend less than $9

Question

To rent a certain meeting room, a college charges a reservation fee of $46 and an additional fee of $5.40 per hour. The history club wants to spend less than $94.60 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 iequality for t.

Answer 1

46 + 5.40t < 94.60

Multiply by 10

460 + 54t < 946

54t < 486

t < 9 i.e. the room could be rented for up to 9 hors for less than the stated amount.