1. Lisa is shopping at a clothing store that is currently having a 20% off sale on all items. Where she lives, Lisa must pay 13% sales tax on all clothing items. Lisa picks out a jacket to purchase. Let p represent the original (full) price of the jacket. a) Write a simplified equation for s(p), which can be used to calculate the sale price related to the original price. (not including tax). b) Write a simplified equation for t(s), which can be used to calculate the total cost related to the sale price (including tax). c) Create a composite function f(p), which can be used to calculate the total/final cost related to the original price (including tax). Use this equation to calculate how much Lisa paid for a jacket that was originally priced at $114.99. 5. The revenue function for a school group selling n cookies is given by R(n) = 2n, and the total cost function is given by C(n) = 45+0.20n a) Determine a simplified equation for the profit function, P(n). b) Determine the number of cookies that need to be sold for the school group to break even.

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Author:Ron Larson
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ChapterP: Prerequisites
SectionP.4: Factoring Polynomials
Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...
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1. Lisa is shopping at a clothing store that is currently having a 20% off sale on all items. Where she lives, Lisa must
pay 13% sales tax on all clothing items. Lisa picks out a jacket to purchase. Let p represent the original (full) price of
the jacket.
a) Write a simplified equation for s(p), which can be used to calculate the sale price related to the original price.
(not including tax).
b) Write a simplified equation for t(s), which can be used to calculate the total cost related to the sale price (including
tax).
c) Create a composite function f(p), which can be used to calculate the total/final cost related to the original price
(including tax). Use this equation to calculate how much Lisa paid for a jacket that was originally priced at
$114.99.
Transcribed Image Text:1. Lisa is shopping at a clothing store that is currently having a 20% off sale on all items. Where she lives, Lisa must pay 13% sales tax on all clothing items. Lisa picks out a jacket to purchase. Let p represent the original (full) price of the jacket. a) Write a simplified equation for s(p), which can be used to calculate the sale price related to the original price. (not including tax). b) Write a simplified equation for t(s), which can be used to calculate the total cost related to the sale price (including tax). c) Create a composite function f(p), which can be used to calculate the total/final cost related to the original price (including tax). Use this equation to calculate how much Lisa paid for a jacket that was originally priced at $114.99.
5. The revenue function for a school group selling n cookies is given by R(n) = 2n, and the total cost
function is given by C(n) = 45+0.20n
a) Determine a simplified equation for the profit function, P(n).
b) Determine the number of cookies that need to be sold for the school group to break even.
Transcribed Image Text:5. The revenue function for a school group selling n cookies is given by R(n) = 2n, and the total cost function is given by C(n) = 45+0.20n a) Determine a simplified equation for the profit function, P(n). b) Determine the number of cookies that need to be sold for the school group to break even.
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