A store has two different coupons that customers can use. One coupon gives the customer $20 off their purchase, and the other coupon gives the customer 30% off of their purchase. Suppose they let a customer use both coupons and choose which coupon gets applied 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 "30% off" coupon. Which of the following correctly represents the fact that the cost of purchasing $420 worth of goods is $274 when the "30% off" coupon is applied first followed by the "$20 off" coupon? Of(9(274)) = 420 Of(9(420)) = 274 Og(f(420)) = 274 of(f(420)) = 274 g(f(274)) = 420

A store has two different coupons that customers can use. One coupon gives the customer $20 off their purchase, and the other coupon gives the customer 30% off of their purchase. Suppose they let a customer use both coupons and choose which coupon gets applied 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 "30% off" coupon. Which of the following correctly represents the fact that the cost of purchasing $420 worth of goods is $274 when the "30% off" coupon is applied first followed by the "$20 off" coupon? Of(9(274)) = 420 Of(9(420)) = 274 Og(f(420)) = 274 of(f(420)) = 274 g(f(274)) = 420

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Functions And Their Graphs

Section2.6: Combinations Of Functions: Composite Functions

Problem 60E: Let dt be the number of dogs in the United States in year t, and let ct be the number of cats in the...

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Let dt be the number of dogs in the United States in year t, and let ct be the number of cats in the United States in year t, where t=10 corresponds to 2010. (a) Find the function pt that represents the total number of dogs and cats in the United States. (b) Interpret p16. (c) Let nt represent the population of the United States in year t, where t=10 corresponds to 2010. Find and interpret ht=pt/nt

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