Question

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.

Answer 1

The meeting room must be rented for less than 7 hours

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

`C = 33 + 9.70t`

We want C to be less than 100.90

So:

`33 + 9.70t <100.90`

We solve for t and obtain.

`9.70t <100.90 -33\\\\9.70t <67.9\\\\t <7`