lle Associate Degree You have a $50 coupon from the manufacturer that is good for the purchase of a cell phone. The store where you are purchasing your cell phone is offering a 30% discount on all cell phones. Let x represent the regular price of the cell phone. (a) Suppose only the 30% discount applies. Find a function f that models the purchase price of the cell phone as a function of the regular price x. f(x) = 0.7x (b) Suppose only the $50 coupon applies. Find a function g that models the purchase price of the cell phone as a function of the sticker price x. g(x)=x-50 (c) If you can use the coupon and the discount, then the purchase price is either (fog)(x) or (gof)(x), depending on the order in which they are applied to the price. Find both (fog)(x) and (gof)(x). (fog)(x) = 0.7x - 21 (gof)(x) = 0.7x-30 x x Which composition gives the Ideer price? O Applying the coupon followed by the discount gives the lower price. Applying the discount followed by the coupon gives the lower price.
lle Associate Degree You have a $50 coupon from the manufacturer that is good for the purchase of a cell phone. The store where you are purchasing your cell phone is offering a 30% discount on all cell phones. Let x represent the regular price of the cell phone. (a) Suppose only the 30% discount applies. Find a function f that models the purchase price of the cell phone as a function of the regular price x. f(x) = 0.7x (b) Suppose only the $50 coupon applies. Find a function g that models the purchase price of the cell phone as a function of the sticker price x. g(x)=x-50 (c) If you can use the coupon and the discount, then the purchase price is either (fog)(x) or (gof)(x), depending on the order in which they are applied to the price. Find both (fog)(x) and (gof)(x). (fog)(x) = 0.7x - 21 (gof)(x) = 0.7x-30 x x Which composition gives the Ideer price? O Applying the coupon followed by the discount gives the lower price. Applying the discount followed by the coupon gives the lower price.
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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You have a $50 coupon from the manufacturer that is good for the purchase of a cell phone. The store where you are purchasing your cell phone is offering a 30% discount on all cell
phones. Let x represent the regular price of the cell phone.
(a) Suppose only the 30% discount applies. Find a function f that models the purchase price of the cell phone as a function of the regular price x.
f(x) = 0.7x
#
(b) Suppose only the $50 coupon applies. Find a function g that models the purchase price of the cell phone as a function of the sticker price x.
g(x) = x-50
(c) If you can use the coupon and the discount, then the purchase price is either (fog)(x) or (gof)(x), depending on the order in which they are applied to the price. Find
both (fog)(x) and (gof)(x).
(fog)(x) = 0.7x - 21
(gof)(x) = 0.7x - 30
X
Which composition gives the Ideer price?
O Applying the coupon followed by the discount gives the lower price.
Applying the discount followed by the coupon gives the lower price.
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