Question

To rent a certain meeting room, a college charges a reservation fee of $42 and an additional fee of $7.60 per hour. The math club wants to spend less than

$110.40 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

42 + 7.60T ≤ 110.40 and the answer would be everything less than nine hours and including nine hours so 0-9 x<9

Answer 2

T = hours

42+ 7.6T < 110.40

subtract 42 from each side

7.6T < 110.40 -42

7.6T < 68.4

divide each side by 7.6

T < 9

T >= 0 as well because you cannot rent less than 0 hours

0<= T < 9 hours