Attached are examples to help you.Make sure to answer all parts. Make sure to show all work and provide evidence when instructed to do so. Make sure to state your claim using a complete sentence. If stating an amount of money, you must include $. You are at the electronics store picking out a new television. You have a coupon for $75.00 off the price of a Samsung television and you also notice that the store is having a 15% off New Year’s Sales Event. You confirm with the store manager that the store will accept the coupon in addition to giving store discount. a. Write an equation where x is the original price of the television and c(x) is the price of the television after the $75 discount. b. Write an equation where x is the original price of the television and p(x) is the price of the television after the 15% discount. Use the composite functions c(p(x)) and p(c(x)) to determine which would be most beneficial to you if you purchased a Samsung television with an original price of $1,200.00. Make sure to state what the final cost would be for each situation (before sales tax). Show all work to support your answer. Hint: Which will give you a cheaper price; applying the coupon first then the % discount or applying the % discount then the coupon. 2. If the original price of the cupcakes were $12.50, what would you payafter your discounts according to the information in part 12c(p(x))= (.9x)-3c(p(12.50))= (.9(12.50))-3= (11.25) -3$8.25ORc(p(x)) = (x - 10x)-3c(p(12.50))= (12.50 10(12.50))-3- (12.50 -1.25) - 311.25-3$8.25 friend's birthday. You have a coupon for $3.00 off the price of a dozencupcakes and also notice that the store is having a sale for 10% off the priceof the cupcakes.1.Write an equation where x is the original price of the cupcakes and c(x) isthe price of the cupcakes after the $3 discount.c(x) = x-3Price of thecupcakesafter $3discount2. Write an equation where x is the original price of the cupcakes and p(x) isthe price of the cupcakes after the 10% discountP(X) = x-.10 xthe originalprice of thecupcakesPrice of cupcakes,after discount=original price of $3 couponthe cupcakes10% of theoriginal price ofthe cupcakesorP(x) = .90xPrice of cupcakesafter discountH90% of theoriginal price ofthe cupcakes

A coupon discount is a reduction in the price granted when a customer presents a coupon during…

Answered: You are at the electronics store…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Attached are examples to help you.

Make sure to answer all parts. Make sure to show all work and provide evidence when instructed to do so. Make sure to state your claim using a complete sentence. If stating an amount of money, you must include $.

You are at the electronics store picking out a new television. You have a coupon for $75.00 off the price of a Samsung television and you also notice that the store is having a 15% off New Year’s Sales Event. You confirm with the store manager that the store will accept the coupon in addition to giving store discount.

a. Write an equation where x is the original price of the television and c(x) is the price of the television after the $75 discount.

b. Write an equation where x is the original price of the television and p(x) is the price of the television after the 15% discount.

Use the composite functions c(p(x)) and p(c(x)) to determine which would be most beneficial to you if you purchased a Samsung television with an original price of $1,200.00. Make sure to state what the final cost would be for each situation (before sales tax). Show all work to support your answer.

Hint: Which will give you a cheaper price; applying the coupon first then the % discount or applying the % discount then the coupon.

2. If the original price of the cupcakes were $12.50, what would you pay
after your discounts according to the information in part 12
c(p(x))= (.9x)-3
c(p(12.50))= (.9(12.50))-3
= (11.25) -3
$8.25
OR
c(p(x)) = (x - 10x)-3
c(p(12.50))= (12.50 10(12.50))-3
- (12.50 -1.25) - 3
11.25-3
$8.25

friend's birthday. You have a coupon for $3.00 off the price of a dozen
cupcakes and also notice that the store is having a sale for 10% off the price
of the cupcakes.
1.Write an equation where x is the original price of the cupcakes and c(x) is
the price of the cupcakes after the $3 discount.
c(x) = x-3
Price of the
cupcakes
after $3
discount
2. Write an equation where x is the original price of the cupcakes and p(x) is
the price of the cupcakes after the 10% discount
P(X) = x-.10 x
the original
price of the
cupcakes
Price of cupcakes,
after discount
=
original price of $3 coupon
the cupcakes
10% of the
original price of
the cupcakes
or
P(x) = .90x
Price of cupcakes
after discount
H
90% of the
original price of
the cupcakes

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