Question

To rent a certain meeting room, a college charges a reservation fee of $41 and an additional fee of $8.30 per hour. The history club wants to spend at most $99.10 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 fort.

Answer 1

7hours max

Explanation:

let the total charges be y

and the number of hours be t

the total cost can be modelled linearly as

y=mt+c

given that

c=$41

m=$8.30

Therefore for y=99.10, we want to solve for t

99.1=8.3t+41

solve for t

99.1-41=8.3t

58.1=8.3t

t=58.1/8.3

t=7

therefore the time is 7hours max