To rent a certain meeting room, a college charges a reservation fee of $41 and an additional fee of $8.70 per hour. the history club wants to spend less than $101.90 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 .

They could use the room for between 0 and 7 hours. An inequality for this would be 0 ≤ t ≤ 7.

To find this, we would have to find the maximum amount of time they could rent it for since the minimum is 0. To find this, we'll use the equation A = 8.70t + 41, where t is the time and A is the cost. Next we'll plug in the maximum cost to find the maximum time.

A = 8.70t + 41

101.90 = 8.70t + 41 > subtract 41

60.90 = 8.70t > divide by 8.70

7 = t