Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-4 Division Properties of Exponents - Practice and Problem-Solving Exercises - Page 443: 55

Answer

$a.\quad\approx 1636$ hours $b.\quad\approx 31$ hours/week

Work Step by Step

$ a.\quad$ 1 billion = $10^{9}$ 1 milion = $10^{6}$ $\displaystyle \frac{342\times 10^{9}}{209\times 10^{6}}=\frac{342}{209}\times 10^{9-6\quad ... dividing \ powers \ with \ the \ same \ base}$ $= 1.6363636\times 10^{3}$ $\approx 1636$ hours $ b.\quad$ There are 52 weeks in a year. Divide the result of (a) with 52 $\displaystyle \frac{1.6363636\times 10^{3}}{52}\approx 31.468531$ $\approx 31$ hours/week
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