Question

Solve for the number of days that

skier must go to the mountain in order
to justify buying a season pass. A season pass is $450 plus a $10 fee for each day the pass is used. A one day ticket is $100.

Answer 1

Explanation:

Let x be the number of days the skier goes to the mountain.

The total cost for using a season pass is:

Cost_season_pass = 450 (initial cost) + 10x (daily fee)

The total cost for using one day tickets is:

Cost_one_day_tickets = 100x (daily cost)

In order to justify buying a season pass, the total cost of the season pass must be less than the total cost of using one day tickets:

450 + 10x < 100x

Subtract 10x from both sides:

450 < 90x

Now, divide both sides by 90:

x > 5

So the skier must go to the mountain for more than 5 days to justify buying a season pass. The minimum number of days to justify the pass would be 6 days.