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 f be the function that inputs a cost (in dollars) and outputs the cost after applying the "$25 off" coupon, and let g 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 $120 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? $ 76 Preview b. A customer purchases an item for $120 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. f(g(x))= 0.8 (x-25) Preview c. A customer purchase an item for $120 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?
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 f be the function that inputs a cost (in dollars) and outputs the cost after applying the "$25 off" coupon, and let g 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 $120 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? $ 76 Preview b. A customer purchases an item for $120 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. f(g(x))= 0.8 (x-25) Preview c. A customer purchase an item for $120 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?
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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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 f be the function that inputs a cost (in dollars)
and outputs the cost after applying the "$25 off"
coupon, and let g 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 $120 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?
$ 76
Preview
b. A customer purchases an item for $120 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.
f(g(x))= 0.8 (x-25)
Preview
c. A customer purchase an item for $120 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?
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