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 122: 3

Answer

Median salary with bachelor’s: ${{\$}} 81,000$ Median salary with master’s: ${{\$}} 92,000$

Work Step by Step

Salary of an American whose final degree is a bachelor’s is $ x $ (in thousands of dollars). $70 $ thousand less than 2$\times $(x) is $2x-70$ Thus, the salary of an American whose final degree is a master’s is $2x-70$ Total = $ x+(2x-70)=3x-70$ We are given that the total is $173$. $ 3x-70=173 \qquad $ ... add 70 $3x=173+70$ $ 3x=243 \qquad $ ... divide with $3$ $ x=81$ thousand $(2x-70=2(81)-70=92)$ Median salary with bachelor’s: ${{\$}} 81,000$ Median salary with master’s: ${{\$}} 92,000$
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