Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 9 - Chapter 9 Test - Page 640: 11

Answer

a) approximately $775$ millibars b) approximately $265$ millibars

Work Step by Step

a) Using the given function, $ f(x)=1013e^{-0.0001341x} $, with $x=2000$, then \begin{align*}\require{cancel} f(2000)&=1013e^{-0.0001341(2000)} \\&\approx 1013(0.764755) \\&\approx 775 .\end{align*} Hence, the atmospheric pressure at $ 2000$ $m$ is approximately $775$ millibars. b) Using the given function, $ f(x)=1013e^{-0.0001341x} $, with $x=10,000$, then \begin{align*}\require{cancel} f(2000)&=1013e^{-0.0001341(10000)} \\&= 1013e^{-1.341} \\&\approx 265 .\end{align*} Hence, the atmospheric pressure at $ 10,000$ $m$ is approximately $265$ millibars.
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