Question

A discount store reduces the price of all items by 5% each week. After 8 weeks, the store reduces all items to 50% of the original price. After 12 weeks, the store donates the items to charity. No items remain on the shelves for more than 12 weeks.

Suppose an item sells for $120 when it is first placed on the shelf.

What piecewise function represents the selling price of the item x weeks after it is placed on the shelf?