Question

To rent a certain meeting room, a college charges a reservation fee of $35 and an additional fee of $8.80 per hour. The film club wants to spend at most$105.40 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 1.

Answer 1

t ≤ 8

Step-by-step explanation:

Reservation fee = $35

Additonal fee = $8.80

let the number of hours = t

Amount to be spent is atmost $105.40

atmost $105.40 written as ≤ $105.40

`\begin{gathered} \text{reservation f}ee\text{ + additional f}ee\text{ (number of hours) }\le\text{ 105.40} \\ 35\text{ + 8.8(t) }\le\text{ 105.40} \end{gathered}`
`35\text{ + 8.8t }\le\text{105.40 (inequality)}`

solve for t:

`\begin{gathered} \text{Subtract 35 from both sides:} \\ \text{8.8t }\le\text{105.40- 35} \\ 8.8t\text{ }\le\text{70.4} \\ \\ \text{divide both sides by 8.8:} \\ t\text{ }\le\text{ }\frac{\text{70.4}}{8.8} \\ t\text{ }\le\text{ 8} \end{gathered}`

They can rent the room for up to 8 hours

Possible amount of time ≤ 8 hours