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Associate Level 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
).
p = x + 62
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 Spring '10
 STONE,G

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