Question

to rent a certain meeting room, a college charges a reservation fee of $17 and an additional fee of $5 per hour. the chemistry club wants to spend less than $67 on 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.

Explanation:

Step1: Set up the inequality

The total cost is the reservation fee plus the hourly fee. The reservation fee is $17$ and the hourly fee is $5t$ (where $t$ is the number of hours). The club wants to spend less than $67$. So the inequality is $17 + 5t<67$.

Step2: Subtract 17 from both sides

Subtract 17 from each side of the inequality:
$$17+5t - 17<67 - 17$$
$$5t<50$$

Step3: Divide both sides by 5

Divide each side of the inequality by 5:
$$\frac{5t}{5}<\frac{50}{5}$$
$$t < 10$$

Answer:

$t < 10$