Their is a reservation fee of $47 and an additional hourly fee of $7.40. The math club wants to spend less than $91.40 on renting the room. What are the possible amounts of time in which they can rent the room?

Answer: they can rent the room for less than 6 hours.

Step-by-step explanation:

Let x represent the possible amounts of time in which they can rent the room.

There is a reservation fee of $47 and an additional hourly fee of $7.40. This means that the total cost of renting the room for x hours would be

47 + 7.4x

The math club wants to spend less than $91.40 on renting the room. This would be expressed as

47 + 7.4x < 91.4

7.4x < 91.4 - 47

7.4x < 44.4

x < 44.4/7.4

x < 6