O Points: 0 of 1 A skier is trying to decide whether or not in buy a season ski pass. A daily pass costs $61. A season ski pass costs $350. The skier would have to rent skin with either pass for $25 per day. How many days would the skoer have to go sking in order make the season pass less expensive than the daily passes?
The skier would have to go sking (Type a whole number) days Save
To determine the number of days the skier would have to go skiing to make the season pass less expensive than the daily passes, we need to calculate the cost of skiing using each option.
First, let's calculate the cost of using daily passes. The skier would need to pay $61 for each day, plus an additional $25 for renting skis. Therefore, the cost per day with daily passes is $61 + $25 = $86.
Next, let's calculate the cost of using the season pass. The skier would need to pay a one-time fee of $350 for the season pass. Additionally, they would still need to pay $25 per day for renting skis.
Now, we can set up an equation to find the breakeven point, where the cost of using the season pass equals the cost of using daily passes:
$350 + $25x = $86x
where x is the number of days skiing.
Simplifying this equation:
$350 + $25x = $86x
$25x - $86x = $350
-$61x = $350
x = -$350 / -$61
x = 5.74
Since we can't have a fraction of a day, we round up to the next whole number.
Therefore, the skier would need to go skiing for at least 6 days to make the season pass less expensive than the daily passes.
To find out 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 calculate the cost of skiing for both options.
The cost of using daily passes is $61 per day, plus $25 for ski rental per day.
So the daily cost for skiing is $61 + $25 = $86.
The season pass costs $350, and the skier would still need to pay $25 for ski rental per day.
So the cost of skiing with a season pass is $350 + ($25 × number of days skied).
To determine the number of days needed to make the season pass less expensive, we can set up an equation:
$86 × number of days = $350 + ($25 × number of days)
86 × number of days = 350 + 25 × number of days
Next, we will simplify the equation:
86 × number of days - 25 × number of days = 350
61 × number of days = 350
Now we can solve for the number of days:
number of days = 350 ÷ 61
Calculating this, we find that the skier would have to go skiing for approximately 5.74 days to make the season pass less expensive than the daily passes.
Since we can't have a fraction of a day, we round up the number of days to 6.
Therefore, the skier would have to go skiing for at least 6 days in order to make the season pass less expensive than the daily passes.