College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.10 - Modeling Variation - 1.10 Exercises - Page 164: 30


$M=32 \frac{abc}{d}$

Work Step by Step

Since $M$ is jointly/directly proportional to $a$, $b$, and $c$, and inversely proportional to $d$, we have: $M=k \frac{abc}{d}$ We are given: $M=128$ and $a=d$ and $b=c=2$, so we have: $128=k \frac{a*2*2}{a}=4k$ $k=128/4=32$ So the equation is: $M=32 \frac{abc}{d}$
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