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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 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 D be the function that inputs a cost (in dollars) and outputs the cost after applying the "$25 off" coupon, and let P be the function that inputs a cost (in dollars) and outputs the cost after applying the "20% off" coupon. a. A customer purchases an item for $100 and asks the cashier to apply the "$25 off" coupon first, followed by the "20% off" coupon. What is the cost of the item after the two coupons are applied? $4 Preview b. A customer purchases an item for $100 and asks the cashier to apply the "$25 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. Preview c. A customer purchase an item for $100 and asks the cashier to apply the "20% off" coupon first, followed by the "$25 off" coupon. What is the cost of the item after the two coupons are applied? 2$ Preview d. A customer purchases an item for $100 and asks the cashier to apply the "20% off" coupon first, followed by the "$25 off" coupon. Use function notation to represent the cost of the item (in dollars) after the two coupons are applied. Preview Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 4: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question

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 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 D be the function that inputs a cost (in dollars) and outputs the cost after applying the "$25 off" coupon, and let P be the function that inputs a cost (in dollars) and outputs the cost after applying the "20% off" coupon. a. A customer purchases an item for $100 and asks the cashier to apply the "$25 off" coupon first, followed by the "20% off" coupon. What is the cost of the item after the two coupons are applied? $4 Preview b. A customer purchases an item for $100 and asks the cashier to apply the "$25 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. Preview c. A customer purchase an item for $100 and asks the cashier to apply the "20% off" coupon first, followed by the "$25 off" coupon. What is the cost of the item after the two coupons are applied? 2$ Preview d. A customer purchases an item for $100 and asks the cashier to apply the "20% off" coupon first, followed by the "$25 off" coupon. Use function notation to represent the cost of the item (in dollars) after the two coupons are applied. Preview Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 4: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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 $25 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 D be the function that inputs a cost (in dollars) and outputs the cost after applying the "$25 off" coupon, and let P be the function that inputs a cost (in dollars) and outputs the cost after applying the "20% off" coupon. a. A customer purchases an item for $100 and asks the cashier to apply the "$25 off" coupon first, followed by the "20% off" coupon. What is the cost of the item after the two coupons are applied? $ Preview b. A customer purchases an item for $100 and asks the cashier to apply the "$25 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. Preview c. A customer purchase an item for $100 and asks the cashier to apply the "20% off" coupon first, followed by the "$25 off" coupon. What is the cost of the item after the two coupons are applied? $4 Preview d. A customer purchases an item for $100 and asks the cashier to apply the "20% off" coupon first, followed by the "$25 off" coupon. Use function notation to represent the cost of the item (in dollars) after the two coupons are applied. $ Preview Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 4: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question
Transcribed Image Text: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 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 D be the function that inputs a cost (in dollars) and outputs the cost after applying the "$25 off" coupon, and let P be the function that inputs a cost (in dollars) and outputs the cost after applying the "20% off" coupon. a. A customer purchases an item for $100 and asks the cashier to apply the "$25 off" coupon first, followed by the "20% off" coupon. What is the cost of the item after the two coupons are applied? $ Preview b. A customer purchases an item for $100 and asks the cashier to apply the "$25 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. Preview c. A customer purchase an item for $100 and asks the cashier to apply the "20% off" coupon first, followed by the "$25 off" coupon. What is the cost of the item after the two coupons are applied? $4 Preview d. A customer purchases an item for $100 and asks the cashier to apply the "20% off" coupon first, followed by the "$25 off" coupon. Use function notation to represent the cost of the item (in dollars) after the two coupons are applied. $ Preview Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 4: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question
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