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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.

Respuesta :

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,

[tex]F\ge8.4t+39[/tex]

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

[tex]\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}[/tex]

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

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