Question

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.

Answer 1

`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.