Question

"A skier is trying to decide whether or not to buy a season skipass. A daily pass costs 64. A season skipass costs 350. The skier would have to rent skis with either pass for 25 per day. How many days would the skier have to go

How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes?

A) 6
B) 7
C) 8
D) 9

Answer 1

To make the season pass less expensive than the daily passes, the skier would have to go skiing for at least 6 days.

Therefore, the most appropriate option is A.

Step-by-step explanation:

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 each option. With the daily pass, the skier would pay $64 per day for skiing and $25 per day for renting skis, resulting in a daily cost of $89. With the season skipass, the skier would pay a one-time cost of $350 for unlimited skiing and $25 per day for renting skis.

To find the break-even point, we set the total cost of the season skipass equal to the total cost of using daily passes:

$350 + $25x = $89x

where x is the number of days.

Simplifying the equation, we get:

$350 = $89x - $25x

$350 = $64x

Dividing both sides by $64, we find:

x = 350/64 = 5.47

Since we cannot have a fraction of a day, the skier would have to go skiing for at least 6 days (rounding up) to make the season pass less expensive than the daily passes.