18.2k views
2 votes
To rent a certain meeting room, a college charges a reservation fee of $32 and an additional fee of $8.90 per hour. The chemistry club wants to spend at most$103.20 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.

1 Answer

7 votes

ANSWER


t\leq8\text{ hrs}

Step-by-step explanation

Let t the number of hours the meeting room is rented be t.

The college charges a reservation fee of $32 and an additional fee of $8.90 per hour.

This implies that for t hours, the total charge will be:


32+8.90t

The chemistry club wants to spend at most $103.20 on renting the meeting room.

This implies that the total charge must be less than or equal to $103.20:


32+8.90t\leq103.20

Now, we can solve for t in the inequality by collecting like terms and simplifying:


\begin{gathered} 8.90t\leq103.20-32 \\ \\ 8.90t\leq71.2 \\ \\ t\leq(71.2)/(8.9) \\ \\ t\leq8\text{ }hrs \end{gathered}

Those are the possible amounts of time they could rent the meeting room.

User DRCB
by
7.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.