To rent a certain meeting room, a college charges a reservation fee of $18 and an additional fee of $5 per hour. The chemistry club wants to spend at most $58 on renting the room

Question

To rent a certain meeting room, a college charges a reservation fee of $18 and an additional fee of $5 per hour. The chemistry club wants to spend at most $58 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room?. 

Use t for the number of hours. 

Write your answer as an inequality solved for t. 

Answer 1

Hi Jocelyn M.

8 hours or less

You need the minimum cost for renting the meeting room given the following info

Reservation Fee = $18

Hourly Rate = $5

The renter wants to keep the cost below $58

So the cost will vary with the time, t you use the inequality below

5t + 18 ≤ 58

You can solve this to get that minimum

You can check you answer by graphing it.

You can graph the inequality at Desmos.com

I hope you find this useful if you have any questions please send me a message.