Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 2 - Functions, Equations, and Graphs - 2-2 Direct Variation - Practice and Problem-Solving Exercises - Page 72: 38

Answer

$y=-500x$ (see graph below)

Work Step by Step

Since $y$ varies directly as $x,$ then it follows the model $y=kx.$ Solving for $k$ by substituting the given point, $( -0.1,50 ),$ results to \begin{array}{l}\require{cancel} y=kx \\ 50=k(-0.1) \\ \dfrac{50}{-0.1}=k \\ k=-500 .\end{array} Hence, the direct variation equation is $ y=-500x .$ Using a table of values, the graph of $ y=-500x $ is shown above.
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