Question

EspaTo rent a certain meeting room, a college charges a reservation fee of $16 and an additional fee of $6 per hour. The chemistry club wants to spend at most $88on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room?Use t for the number of hours.Write your answer as an inequality solved for t.

Answer 1

First we can make an equation from the statemen

reservation fee of $16 and an additional fee of $6 per hour

`6t+16=C`

Where C is the total cost and t the number of hours

if the maximum amount to spend is 88 then the reservation fee and the value of the total horus must be less than or equal to 88

`6t+16\le88`

and solve the inequality for t

`\begin{gathered} 6t\le88-16 \\ 6t\le72 \\ t\le(72)/(6) \\ \\ t\le12 \end{gathered}`

then the number of hours must be less than or equal to 12