A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $79. A season ski pass costs $400. The skier would have to rent skis with either pass for $20 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?
79d < 400
d = ?
To determine how many days the skier would have to go skiing in order to make the season pass less expensive than the daily passes, we need to compare the total cost of using each pass option.
With the daily pass, the skier would pay $79 per day for skiing, and an additional $20 per day for renting skis. So, the total cost per day with the daily pass would be $79 + $20 = $99.
With the season pass, there would be no additional cost for renting skis, so the total cost per day would simply be the initial cost of $400 divided by the number of days the skier intends to go skiing.
Let's denote the number of days the skier intends to go skiing as 'x'. In order for the season pass to be less expensive than using the daily passes, the total cost with the season pass should be less than the total cost with the daily passes.
So, we can set up the following equation to represent this situation:
$400 / x < $99
Now, let's solve for 'x' to find the minimum number of days the skier would need to make the season pass less expensive:
$400 < $99 * x
$400 / $99 < x
Approximately, x > 4.0404
Therefore, the skier would need to go skiing for at least 5 days to make the season pass less expensive than the daily passes.