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 6.1 - Rational Expressions and Functions; Multiplying and Dividing - Exercise Set - Page 415: 106

Answer

$520$ million dollars $(80,520)$

Work Step by Step

We are given the function: $$f(x)=\dfrac{130x}{100-x}.\tag1$$ Calculate $f(x)$ substituting $x=80$ in equation $(1)$: $$f(80)=\dfrac{130(80)}{100-80}=\dfrac{10400}{20}=520.$$ This means that the cost to inoculate $80\%$ of the population against that particular strain of flu is $520$ million dollars. Graph the function $f$ and the line $x=80$. The line intersects the graph in the point $(80,520)$.
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