# A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs ​$78. A season ski pass costs ​$300. The skier would have to rent skis with either pass for ​$30 per day? ## How many days would the skier have to go skiing in order to make the season pass less expensive than the daily​ passes? ##### 1 Answer Feb 24, 2018 $4$days. $432 ("daily + ski rental") > $420 ("seasonal + ski rental") #### Explanation: If a daily pass costs $78 and he also has to pay $30 a day for ski rental, it is $78 + $30 for one day with the daily pass, or $108.

In 3 days (3xx$108), he will have spent $324.

However, if the skier were to buy the season pass, he would also have to pay for ski rental per day, adding $3$ days xx $30 to the original $300 season pass, finally totaling $390. This means the skier must go skiing for at least $4$days to surpass the cost of the season pass. $4$days of one-day passes plus daily rental ski costs total $4$days xx$(78 +30) = $432. Season pass plus $4$days of ski rental costs $300 + 3 xx $40, which equals $420.