Question

Admission for a water park is $17.50 per day. You can get a season pass for $125. A locker rental costs $3.50 per day--but is free if you have a season pass. How many days would you have to go to the water park for the season pass to save you money?

A. 6 days
B. 7 days
C. 8 days
D. 9 days

Answer 1

To determine the number of days you would have to go to the water park for the season pass to save you money, you need to compare the cost of buying a season pass versus the cost of paying for daily admission tickets. The cost per day for the season pass is less than the cost per day for daily admission tickets. Therefore, to save money with the season pass, you would have to go to the water park for more than 6 days.

Step-by-step explanation:

To determine the number of days you would have to go to the water park for the season pass to save you money, you need to compare the cost of buying a season pass versus the cost of paying for daily admission tickets.

1. First, calculate the cost of a season pass per day: $125 divided by the number of days in the water park season. Let's assume the water park season is 90 days. So, the cost per day for a season pass is $125 divided by 90, which is approximately $1.39.
2. Next, calculate the cost of daily admission tickets for the same number of days. Multiply the daily admission price of $17.50 by the number of days. For example, if you want to calculate the cost for 6 days, multiply $17.50 by 6, which equals $105.
3. Finally, compare the cost of the season pass per day with the cost of daily admission tickets. In this case, the cost per day for the season pass ($1.39) is less than the cost per day for daily admission tickets ($17.50). Therefore, you would have to go to the water park for more than 6 days for the season pass to save you money. So, the correct answer is A. 6 days.