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: 50

Answer

$y=-\dfrac{3}{4}x$ (see graph below)

Work Step by Step

A value of $k$ where $ -1\lt k\lt -\dfrac{1}{2} $ is $k=-\dfrac{3}{4}.$ Substituting $ k=-\dfrac{3}{4} $ in the direct variation model, $y=kx,$ results to the direct variation equation \begin{align*} y=-\dfrac{3}{4}x .\end{align*} Using the table of values below, the graph of the direct variation equation above is derived.
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