Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 6 - Section 6.8 - Modeling Using Variation - Exercise Set - Page 488: 22

Answer

$31\; pounds$.

Work Step by Step

$\Rightarrow M=kE$ ...... (1) Step 2:- Substitute all values into the equation to find the value of $k$. The given values are $M=60\; pounds$ and $E=360\; pounds$. Substitute into equation (1). $\Rightarrow 60=k(360)$ Divide both sides by $360$. $\Rightarrow \frac{60}{360}=\frac{360k}{360}$ Simplify. $\Rightarrow \frac{1}{6}=k$ Step 3:- Substitute the value of $k$ into the original equation. Substitute $k=\frac{1}{6}$ into equation (1). $\Rightarrow M=\frac{1}{6}\cdot E$ ...... (2) Step 4:- Solve the equation to find the required value. Substitute $E=186\;pounds$ into equation (2). $\Rightarrow M=\frac{1}{6}\cdot (186)$ Simplify. $\Rightarrow M=31\; pounds$ Hence, the tail length is $31\; pounds$.
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.