To rent a certain meeting room, a college charges a reservation fee of $33
and an additional fee of $9.70 per hour. the film club wants to spend less than $100.90 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.

The meeting room must be rented for less than 7 hours

Step-by-step explanation:

There are 2 types of costs in this situation

Fixed cost = $ 33

Variable cost = 9.70t

Where t is the number of hours.

The total cost C will be the sum of the fixed cost and the variable cost

We want C to be less than 100.90

So:

We solve for t and obtain.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x