In: Math
A store has issued two different coupons for its customers to use. One coupon gives customers $25 off their purchase price, and the other coupon gives customers 35% off of their purchase. The store allows customers to use both coupons and choose which coupon to apply first. For this context, ignore sales tax. Let f be the function that inputs a cost (in dollars) and outputs the cost after applying the "$25 off" coupon, and let g be the function that inputs a cost (in dollars) and outputs the cost after applying the "35% off" coupon.
A.) A customer purchases an item for $120 and asks the cashier to apply the "$25 off" coupon first, followed by the "35% off" coupon. What is the cost of the item after the two coupons are applied?
b.) A customer purchases an item for $120 and asks the cashier to apply the "$25 off" coupon first, followed by the "35% off" coupon. Use function notation to represent the cost of the item (in dollars) after the two coupons are applied.
c.) A customer purchase an item for $120 and asks the cashier to apply the "35% off" coupon first, followed by the "$25 off" coupon. What is the cost of the item after the two coupons are applied?