Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.5 - Solving Equations Containing Rational Expressions - Exercise Set - Page 378: 61

Answer

$3000$ disks

Work Step by Step

Replacing $f(x)$ with $5.10$ results to \begin{array}{l}\require{cancel} f(x)=3.3+\dfrac{5400}{x} \\\\ 5.10=3.3+\dfrac{5400}{x} .\end{array} Using the properties of equality to isolate $x$ results to \begin{array}{l}\require{cancel} 5.10-3.3=\dfrac{5400}{x} \\\\ 1.8=\dfrac{5400}{x} \\\\ x(1.8)=\left( \dfrac{5400}{x} \right) x \\\\ 1.8x=5400 \\\\ x=\dfrac{5400}{1.8} \\\\ x=3000 .\end{array} Hence, $3000$ disks must be produced.
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