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To rent a certain meeting room, a college charges a reservation fee of $41 and an additional fee of $5.90per hour. The chemistry club wants to spend less than $76.40on 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 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

$41 and an additional fee of $5.90per hour

Let t the number of the meeting room is rented

So, the total rent fee = 5.9t + 41

The chemistry club wants to spend less than $76.40on renting the meeting room.

So, we have the following inequality:

[tex]5.9t+41<76.4[/tex]

solve the inequality to find t:

[tex]\begin{gathered} 5.9t<76.4-41 \\ 5.9t<35.4 \\ t<\frac{35.4}{5.9} \\ t<6 \end{gathered}[/tex]

so, the answer will be in interval notation:

[tex]t=(0,6)[/tex]

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