Question

Jasmine is planning a ski trip in the mountains with her friends. She can rent skis at the resort for $30 per day or she can buy skis to take with her for $150. Jasmine will also have to budget for a lift pass that costs $15 per day. How many days does she need to plan to ski in order for the cost of renting versus buying skis to cost the same for the trip?

Answer 1

5 days.

Explanation:

Jasmine has two options:

Rent skis at the resort for $30 per day.

Then if she rents the skis for N days, the cost will be:

C(N) = N*$30

Buy skis for $150

Now we can ignore the lift pass because she will pay that in both cases.

Now we want to find the number of days N such that the cost of renting is the same as the cost of buying.

Then we need to solve:

C(N) = $150

N*$30 = $150

N = $150/$30 = 5

So if you rent the skis for 5 days, you will pay the same as if you bought the skis.