Precalculus (6th Edition) Blitzer

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

Chapter P - Section P.8 - Modeling with Equations - Exercise Set - Page 123: 12

Answer

The costs are equal when the bridge is crossed 20 times.

Work Step by Step

Let x = number of times the bridge is crossed in a month. Cost of tolls, no discount = $5x $ Cost using a discount pass = $30+3.5x $ We want the x for which these two costs are equal. $5x $=$30+3.5x \qquad $ ... add $-3.5x $ $1.5x=30 \qquad $ ... divide with $1.5$ $ x=20.$ The costs are equal when the bridge is crossed 20 times.
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