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: 107

Answer

Tax owed from a single taxpayer is $\$2575$.

Work Step by Step

To calculate tax owed from taxable income of $20000$, put $x=20000$ in the piecewise function $T\left( x \right)$. For the range of, $\text{8500}x\le 34500$ $\begin{align} & T\left( x \right)=850+0.15\left( x-8500 \right)\text{ } \\ & T\left( 20000 \right)=850+0.15\left( 20000-8500 \right) \\ & =2575 \end{align}$
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