Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.12 - Modeling Variation - 1.12 Exercises - Page 128: 42

Answer

$59975.62$ days

Work Step by Step

As per the given problem, we have: $T^2=kd^2$ Here, $k$ is defined as constant of proportionality Plug the given values in the above expression, we get $(365)^2=k(93 \times 10^6)^3$ This gives $k=1.6262 \times 10^{-19}$ $T^2=(1.6262 \times 10^{-19})(2.79\times 10^{9})^3$ $\implies T=59975.62$ days
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