Question

You work at the front desk of a luxury hotel. Guests staying at the hotel have two options for accessing the hotel's wireless internet. The first involves a charge of $25 a day plus ten cents for every minute connected to the network. The second is a flat fee of $60 per day with unlimited access. How many hours would a guest who is staying at the hotel for three days need to spend on the internet during that time to save money by using the second option?

Answer 1

for 3 days....

option 1 : 25(3) + 0.10m = 75 + 0.10m
option 2 : 60(3) = 180

180 < 75 + 0.10m
180 - 75 < 0.10m
105 < 0.10m
105 / 0.10 < m
1050 < m.....this is minutes, we need hrs
1050/60 < m
17.5 < m.......the guest would have to spend more then 17.5 hrs