Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1 - Linear Functions - 1.1 Solving Linear Equations - 1.1 Exercises - Page 11: 16

Answer

a.) -88 dollars b.) 599.50 dollars c.) 755 books

Work Step by Step

There are three questions to answer here: a. Find the profit if you sell 75 books. b. Find the profit if you sell 200 books. c. How many books must you sell to make $3600 in profit? We are given the formula, P = 5.5b - 500.5, where P = profit and b = amount of books sold. So, for question "a": P = 5.5b - 500.5 P = 5.5 × 75 - 500.5 P = 412.5 - 500.5 P = -88 For question "b": P = 5.5b - 500.5 P = 5.5 × 200 - 500.5 P = 1,100 - 500.5 P = 599.5 For question "c": P = 5.5b - 500.5 3,600 = 5.5b - 500.5 4,150.5 = 5.5b b = 754.636... Rationally, this answer means one must sell 755 whole books to break 3,600 dollars.
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