Let x be the number of days the skier would have to go skiing in order to make the season pass less expensive than the daily passes.
The cost of renting skis for x days would be 25x.
For the daily pass, the cost for x days of skiing would be 78x.
For the season pass, the total cost for x days of skiing would be 450 + 25x.
Setting up an inequality, we get 450 + 25x < 78x.
Combining like terms, we get 450 < 53x.
Dividing both sides by 53, we get 8.49 < x.
Rounded up, x is at least 9 days.
Thus, the skier would have to go skiing for at least 9 days in order to make the season pass less expensive than the daily passes. Answer: \boxed{9}.
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 $450. The skier would have to rent skis with either pass for $25 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