Precalculus (6th Edition) Blitzer

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

Chapter 1 - Section 1.3 - More on Functions and Their Graphs - Exercise Set - Page 199: 108

Answer

$8625$ dollars; see explanations.

Work Step by Step

Step 1. Checking the value $x=50,000$, it falls on the interval of $34,500\lt x\leq 83,600$. Thus we should use the third equation. Step 2. We have $T(50,000)=4750.00 + 0.25(50,000 - 34,500)=8625$ dollars. Step 3. This means that for a single taxpayer of income $50,000$ dollars, the tax would be $8625$ dollars.
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