Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 3 - Polynomial and Rational Functions - 3.6 Variation - 3.6 Exercises - Page 388: 27

Answer

$69.08in$

Work Step by Step

Because they vary directly together, when the new radius increases/decreases by $k$ times, the new circumference also increases/decreases by that much. Given that the new radius and old radius have their length of 11in and 7in respectively, their rate of increase is 11/7. Therefore, the new circumference is 11/7 times larger than the old circumference, equal to: $43.96in*11/7=69.08in$
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