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 30% 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 ff be the function that inputs a cost (in dollars) and outputs the cost after applying the "$20 off" coupon, and let gg be the function that inputs a cost (in dollars) and outputs the cost after applying the "30% off" coupon. A customer purchases an item for $120 and asks the cashier to apply the "$20 off" coupon first, followed by the "30% off" coupon. What is the cost of the item after the two coupons are applied? $    A customer purchases an item for $120 and asks the cashier to apply the "$20 off" coupon first, followed by the "30% off" coupon. Use function notation to represent the cost of the item (in dollars) after the two coupons are applied.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.4: Functions Given By Words
Problem 13E
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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 30% 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 ff be the function that inputs a cost (in dollars) and outputs the cost after applying the "$20 off" coupon, and let gg be the function that inputs a cost (in dollars) and outputs the cost after applying the "30% off" coupon.

  1. A customer purchases an item for $120 and asks the cashier to apply the "$20 off" coupon first, followed by the "30% off" coupon. What is the cost of the item after the two coupons are applied?

    $   

  2. A customer purchases an item for $120 and asks the cashier to apply the "$20 off" coupon first, followed by the "30% off" coupon. Use function notation to represent the cost of the item (in dollars) after the two coupons are applied.

        

  3. A customer purchase an item for $120 and asks the cashier to apply the "30% off" coupon first, followed by the "$20 off" coupon. What is the cost of the item after the two coupons are applied?

     

  4. A customer purchases an item for $120 and asks the cashier to apply the "30% off" coupon first, followed by the "$20 off" coupon. Use function notation to represent the cost of the item (in dollars) after the two coupons are applied.

       

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