To rent a certain meeting room, a college charges a reservation fee of
$46
and an additional fee of
$6.70
per hour. The chemistry club wants to spend less than
$79.50
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
.

Question

To rent a certain meeting room, a college charges a reservation fee of 
$46
 and an additional fee of 
$6.70
 per hour. The chemistry club wants to spend less than 
$79.50
 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
 .

anonymous · Answer

Lol your pic.

zzr0ck3r · Answer

Ok so we have, no matter what, a starting free that will be paid.

46 bucks

And for every hour after that, we will charge 6.70 an hour

So we want a function that we can use to model this. We want it to be 46+6.70 when we plug in 1 (for one hour) and 46+6.70+6.70 when we plug in 2 (2 hours)

So we have the function  f(t) = 46+6.70t  that models how much will be charged for t hours, and we want f(t) < 79.50

In other words
$$64+6.70t<79.50$$

Can you solve from here?