A band wants to tend a rehearsal space. They will be charged a cleaning fee and hourly rate for use of the room.
Room A: Cleaning fee: $50
Rate: $24 per hour
Room B: Cleaning fee: $80
Rate: $18 per hour
The band has $250 to spend. Let t be the time (in hours) the band rents the room.

a. Write and solve an inequality to represent the time (in hours) the band could rent room A.


b. Write and solve an inequality to represent the time (in hours) the band could rent room B


c. Which room should the band rent? Explain your answer.