o decide whether or not to buy a season ski pass. A daily pass costs $80. A season ski pass costs $450. The skier would have to rent skis with either pass for $25 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?

6 days

Explanation:

Given:

Cost of daily pass = $80

Cost of season ski pass = $450

Rent for the skis per day = $25

Let the number of days be 'x'

Thus,

Total cost with the daily pass = $80x + $25x = $115x

And,

Total cost with season pass = $450 + $25x

Now, in order to make the season pass less expensive than daily pass

the total cost with the season pass should be less than the total cost with the daily pass

Mathematically,

$450 + $25x ≤ $115x

or

$450 ≤ $115x - $25x

or

$450 ≤ 80x

or

x ≥ 5.625

i. e the skier should go to skiing atleast 6 days to make the season pass less expensive than the daily passes