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 389: 32

Answer

$800\ gal/hr$

Work Step by Step

Step 1. Assume $V\ (gal/hr)$ is amount of water emptied by a pipe per hour. Step 2. Assume $d\ (in)$ is the diameter of the pipe. Step 3. From the given conditions, we have $V=kd^2$ and $200=k(6)^2$, thus $k=\frac{50}{9}$ Step 4. For $d=12\ (in)$, we have $V=\frac{50}{9}(12)^2=800\ gal/hr$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.