A store has issued two different coupons for its customers to use. One coupon gives customers $20 off their purchase price, and the other coupon gives customers 20% 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 "$20 off" coupon, and let g be the function that inputs a cost (in dollars) and outputs the cost after applying the "20% off" coupon. A customer purchases an item for $130 and asks the cashier to apply the "$20 off" coupon first, followed by the "20% off" coupon. What is the cost of the item after the two coupons are applied?

Question

Business

Philip Haney

7 February, 00:56

A store has issued two different coupons for its customers to use. One coupon gives customers $20 off their purchase price, and the other coupon gives customers 20% 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 "$20 off" coupon, and let g be the function that inputs a cost (in dollars) and outputs the cost after applying the "20% off" coupon. A customer purchases an item for $130 and asks the cashier to apply the "$20 off" coupon first, followed by the "20% off" coupon. What is the cost of the item after the two coupons are applied?

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Answers (1)

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Arnav Hanna · Answer 1

Price = $88

Explanation:

Giving the following information:

One coupon gives customers $20 off their purchase price, and the other coupon gives customers 20% off of their purchase. A customer purchases an item for $130 and asks the cashier to apply the "$20 off" coupon first, followed by the "20% off" coupon.

Price = (130-f) * (1-g) = (130-20) * (1-0.20) = $88