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 6.6 - Rational Equations - Exercise Set - Page 463: 52

Answer

$75\%$.

Work Step by Step

The given function is $\Rightarrow f(x)=\frac{250x}{100-x}$.... (1) Plug $f(x)=750$ in (1) and solve for $x$. $\Rightarrow 750=\frac{250x}{100-x}$ Multiply both sides by $(100-x)$. $\Rightarrow 750\cdot (100-x)=\frac{250x}{100-x}\cdot (100-x)$ Use the distributive property on the left and cancel common factors on the right. $\Rightarrow 75000-750x=250x$ Add $750x$ to both sides. $\Rightarrow 75000-750x+375x=250x+750x$ Simplify. $\Rightarrow 75000=1000x$ Divide both sides by $1000$. $\Rightarrow \frac{75000}{1000}=\frac{1000x}{1000}$ Simplify. $\Rightarrow 75=x$ Hence, $75\%$ of the pollutants can be removed.
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.