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?

Question

Mathematics

Medina

16 June, 13:14

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?

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Daniela Dean · 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