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

Haney

3 March, 20:25

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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Karsyn Mendez · 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