Problema Solution

a skier is trying to decide whether or not to buy season ski pass. a daily pass costs $72. A season pass costs $450. the skier would have to rent skis with either pass for $20 per day. how many days would the sier have to go skiing in order to make the season pass less expensive than the daily passes?

Answer provided by our tutors

let 'd' represent the number of days of skiing


daily costs:

(72 + 20)d = 92d


season costs:

450 + 20d


we want to solve for 'd' such that the season costs are less than the daily costs:

450+20d < 92d

450 < 72d

d > 450/72

d > 6.25


after 6.25 days of skiing (so a minimum of 7 days), the season pass purchase is cheaper than daily costs