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Axia College Material
Appendix C
Polynomials
Retail companies must keep close track of their operations to maintain profitability.
Often, the sales data of each individual product is analyzed separately, which can be
used to help set pricing and other sales strategies.
Application Practice
Answer the following questions. Use Equation Editor to write mathematical expressions
and equations. First, save this file to your hard drive by selecting
Save As
from the File
menu. Click the white space below each question to maintain proper formatting.
1. In this problem, we analyze the profit found for sales of decorative tiles. A
demand equation
(sometimes called a demand curve) shows how much money
people would pay for a product depending on how much of that product is
available on the open market. Often, the demand equation is found empirically
(through experiment, or market research).
a. Suppose a market research company finds that at a price of p = $20, they would sell
x
= 42
tiles each month. If they lower the price to
p
= $10, then more people would purchase the tile,
and they can expect to sell
x
= 52 tiles in a month’s time. Find the equation of the line for the
demand equation. Write your answer in the form p = mx + b. Hint: Write an equation using two
points in the form (
x,p
).
Slope = rise/run
= (4252)/(2010)
= 10/10
= 1
pp1 = m(xx1)
p52 = 1(x10)
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 Fall '10
 MR

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