A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $68. A season ski pass costs $350. 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?
Let x be the number of days the skier goes skiing.
With daily passes, the total cost would be:
Total cost with daily passes = $68x + $30x = $98x
With a season ski pass, the total cost would be:
Total cost with season pass = $350 + $30x
So, the skier would have to ski for at least x days such that:
$98x > $350 + $30x
Subtracting $30x from both sides,
$68x > $350
Dividing both sides by $68,
x > 350/68
x > 5.15
Since the skier cannot ski for a fraction of a day, the skier would have to ski for at least 6 days to make the season pass less expensive than the daily passes.