Inequality Based Word Problem

Question

To rent a certain meeting room, a college charges a reservation fee of $32

 and an additional fee of $9.40 per hour. The chemistry club wants to spend at most $107.20

 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 thing is to determine the possible number of hours the chemistry is rent. This can easily be represented by a table:

Equation Total

1 hour 32 + 9.4 41.4

2 hours 32 + 2(9.4) 50.8

3 hours 32 + 3(9.4.) 60.2

4 hours 32 + 4(9.4.) 69.6

5 hours 32 + 5(9.4.) 79.0

6 hours 32 + 6(9.4.) 88.4

7 hours 32 + 7(9.4.) 97.8

8 hours 32 + 8(9.4.) 107.2

So we know the maximum amount of time is 8 hours. So now let's express this as an inequality:

32 + 9.4t ≤ 107.2 Now let's solve for t

9.4t ≤ 75.2

t ≤ 8