ANSWER
[tex]t\leq8\text{ hrs}[/tex]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:
[tex]32+8.90t[/tex]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:
[tex]32+8.90t\leq103.20[/tex]Now, we can solve for t in the inequality by collecting like terms and simplifying:
[tex]\begin{gathered} 8.90t\leq103.20-32 \\ \\ 8.90t\leq71.2 \\ \\ t\leq\frac{71.2}{8.9} \\ \\ t\leq8\text{ }hrs \end{gathered}[/tex]Those are the possible amounts of time they could rent the meeting room.
