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: 105

Answer

$195$ million dollars $(60,195)$

Work Step by Step

We are given the function: $$f(x)=\dfrac{130x}{100-x}.\tag1$$ Calculate $f(x)$ substitiuting $x=60$ in equation $(1)$: $$f(60)=\dfrac{130(60)}{100-60}=\dfrac{7800}{40}=195.$$ This means that the cost to inoculate $60\%$ of the population against that particular strain of flu is $195$ million dollars. Graph the function $f$ and the line $x=60$. The line intersects the graph in the point $(60,195)$.
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