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 D be the function that inputs a cost (in dollars) and outputs the cost after applying the "$20 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 $110 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? $ 72 Preview b. A customer purchases an item for $110 and asks the cashier to apply the "$20 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 syntax error c. A customer purchase an item for $110 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? $ 68 Preview d. A customer purchases an item for $110 and asks the cashier to apply the "20% 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
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 D be the function that inputs a cost (in dollars) and outputs the cost after applying the "$20 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 $110 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? $ 72 Preview b. A customer purchases an item for $110 and asks the cashier to apply the "$20 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 syntax error c. A customer purchase an item for $110 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? $ 68 Preview d. A customer purchases an item for $110 and asks the cashier to apply the "20% 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
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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How do I use function notation to represent the cost ?
Transcribed Image Text: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 \( D \) be the function that inputs a cost (in dollars) and outputs the cost after applying the "$20 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 $110 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?
- **Answer:** $72 (Correct)
b. A customer purchases an item for $110 and asks the cashier to apply the "$20 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.
- **Answer:** Syntax error (Incorrect)
c. A customer purchases an item for $110 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?
- **Answer:** $68 (Correct)
d. A customer purchases an item for $110 and asks the cashier to apply the "20% 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.
- **Answer:** (Incorrect)
**Box Guidelines:**
- **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, ∞ 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)
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