Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Appendix A - Numbers, Inequalities, and Absolute Values - A Exercises - Page A9: 41


(a) $T°C = 20°C-10h$ (b)$-30°C\leq T\leq 20°C$

Work Step by Step

As dry air moves upward, it expands and in so doing cools at a rate of about 1°C for each 100-m rise, up to about 12 km. (a) If the ground temperature is 20°C, then write a formula for the temperature at height h. The temperature at height $h$ km is $T°C = 20°C-10h$ Here,$0\leq h \leq 12$ (b) The range of temperature can be expected if a plane takes off and reaches a maximum height of 5 km. The temperature at height 5 km is $T°C = 20°C-10(5)°C=-30°C$ Here, range of the temperature is $-30°C\leq T\leq 20°C$
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