Question

To rent a certain meeting room, a college charges a reservation fee of $19 and an additional fee of $6 per hour. The chemistry club wants to spend at most $19 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room?

Answer 1

Given:

Reservation fee = $19

Additional fee = $6 per hour

The chemistry club wants to spend at most $19 on renting the room.

To find:

The possible numbers of hours the chemistry club could rent the meeting room.

Solution:

Let n be the number of hours the chemistry club could rent the meeting room.

Reservation fee = $19

Additional fee for one hour = $6

Additional fee for n hours = $6n

Total fee = $(6n+19).

The chemistry club wants to spend at most $19 on renting the room.  It means the total fee must be less than or equal to 19.

$6n+19\leq 19$

Subtract 19 from both sides.

$6n\leq 0$

Divide both sides by 6.

$n\leq 0$

Time can not be negative. So n=0.

Therefore, the possible numbers of hours the chemistry club could rent the meeting room is 0.