Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 2 - Section 2.5 - An Introduction to Problem Solving - Exercise Set - Page 167: 56

Answer

False. The statement should read: "After a 35%, reduction, a computer’s price is $780$ dollars, so its original price, $x$, can be found by solving $x - 0.35 = 780$$."

Work Step by Step

This statement is false because, according to the equation given, it looks like we are just subtracting $35$ cents from the total instead of $0.35$ of the total (or $0.35x$). The original equation is giving us a discount of $35$ cents instead of $35$ percent of the total. The expression that will give us the true discounted amount of $35$ percent of the total is given as $0.35x$. The equation should really read: $$x - 0.35x = 780$$ The entire statement should read: "After a 35%, reduction, a computer’s price is $780$ dollars, so its original price, $x$, can be found by solving $x - 0.35 = 780$$."
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