Question

sonTo rent a certain meeting room, a college charges a reservation fee of $35 and an additional fee of $6.80 per hour. The math club wants to spend less than$96.20 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.

Answer 1

First, let's write the equation that gives us the total amount spent (x) as a function of time t:

x = 35 + 6.8t (ommiting $ to simplify)

Now, since they want to spend less than $96.20, we must have

x < 96.2

So, we use the expression of x as a funtion of t to solve fot t:

35 + 6.8t < 96.2

6.8t < 96.2 - 35

6.8t < 61.2

t < 61.2/6.8

t < 9

Therefore, the possible amounts of time for which they could rent the meeting room is any value that satisfies:

t < 9 hours