Question

To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $8.40 per hour. The chemistry club wants to spend less than$72.60 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

Given:

To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $8.40 per hour.

Let the number of hours = t and the total fee = F

So,

$F\ge8.4t+39$

The chemistry club wants to spend less than $72.60 on renting the meeting room.

So, substitute with F = 72.6 and solve for t

$\begin{gathered} 72.6\ge8.4t+39 \\ 72.6-39\ge8.4t \\ 33.6\ge8.4t \\ \frac{33.6}{8.4}\ge t \\ \\ 4\ge t \end{gathered}$

so, the answer will be time should not exceed 4 hours