Question

A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs ​$60. A season ski pass 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 skiing in order to make the season pass less expensive than the daily​ passes?

Answer 1

Explanation:

The equation for the season pass would look like this:

y=25x+350

Daily pass:

y=67x+25x or y=92x

x is the number of days and y is the total cost.

92x=25x+350 This equation will be how many days the cost will be equal

67x=350

x=5.223

The skier would have to go up 6 days to start saving from the season pass

Answer 2

let 'd' represent the number of days of skiing

daily costs:

(72 + 20)d = 92d

season costs:

450 + 20d

we want to solve for 'd' such that the season costs are less than the daily costs:

450+20d < 92d

450 < 72d

d > 450/72

d > 6.25

after 6.25 days of skiing (so a minimum of 7 days), the season pass purchase is cheaper than daily costs