Final answer:
The Mathematics problem is about determining the more cost-effective option for ski passes for a family. Calculating the costs shows that the season ski pass totaling $673.75 is cheaper than the day pass for the season at $819.00, making the season pass the better buy.
Step-by-step explanation:
The subject in question is Mathematics, and it involves analyzing which option is more cost-effective for a family when considering the purchase of ski passes. To decide whether the day pass or the season ski pass is a better buy for a family of three skiing every Sunday from December through February, one would need to calculate the total cost of both options.
First, let's calculate the cost of the season ski pass for all three family members:
- 1st member: $385.00
- 2nd member (75% off): $385.00 * 0.25 = $96.25
- 3rd member (50% off): $385.00 * 0.50 = $192.50
Total season pass cost for the family: $385.00 + $96.25 + $192.50 = $673.75
Now, for the day pass:
There are typically 13 weeks between December and February, and since the family skis every Sunday, that's 13 ski days.
Cost per day for the family (3 tickets at $21.00 each): 3 * $21.00 = $63.00
Total day pass cost for the season: 13 * $63.00 = $819.00
Since $673.75 (season pass) < $819.00 (day pass), the season ski pass is the better deal for this family.