Question

A skier is trying to decide whether whether or not to buy a season ski pass. A daily pass cost 67. 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 cost the same as the daily pass option.

Write an expression using words to represent the cost of a daily pass. Write the algebraic expression. Write an expression using words to represent the cost of a season pass. Write the algebraic expression
How can you compare the cost of a daily pass with the cost of a season pass algebraically?

Answer 1

The total cost of using daily passes is the number of days the skier goes skiing times 67.
The algebraic expression for this is 67n (n=the number of days).

 The cost of a season pass is 350. If the number of days the skier skis times 67 equals 350 then the cost for both options is the same.
67n=350
n=350/67

 n=5.22

If the skier goes skiing 5 times or fewer using daily passes costs less. If the skier goes skiing 6 times or more a season pass costs less.