Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.9 - Linear Inequalities and Absolute Value Inequalities - Exercise Set - Page 139: 115

Answer

Less than 200 checks in a month.

Work Step by Step

Let $ x $ be the number of checks written in a month. Better deal = smaller cost to the client. We want x for which (Cost of credit union) $ \lt $ (Cost of local bank) $2+0.08x \lt 8+0.05x\qquad $ ... add $-0.05x-2$ $0.03x \lt 6\qquad $ ... multiply with $\displaystyle \frac{100}{3}$ $ x \lt 200$ If less than 200 checks are written in a month, the credit union is a better deal.
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