Algebra 2 Common Core

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

Chapter 2 - Functions, Equations, and Graphs - 2-8 Two-Variable Inequalities - Practice and Problem-Solving Exercises - Page 120: 63

Answer

$y$ does vary directly with $x$. The constant of variation is $100$.

Work Step by Step

If $y$ varies directly with $x$, then the equation would take the form $y = kx$, where $k$ is the constant of variation. To see if this equation is a direct variation equation, we would need to rewrite the equation such that $y$ is on the left-hand side. In this exercise, this step has already been done. We can see that the equation does take the form $y= kx$; therefore, $y$ does vary directly with $x$. The constant of variation, $k$, is the coefficient of the variable $x$. In this case, $k$ is $100$.
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