Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-6 Inverse Variation - Lesson Check: 1

Answer

$y = \frac{-51}{x}$ or $xy = -51$

Work Step by Step

Our equation for an inverse variation is $y = \frac{k}{x}$. Therefore, we need to solve for k by plugging in our values for x and y. $-3 = \frac{k}{17}$ We multiply both sides by 17 to solve for k: $-3\times17 = \frac{k}{17}\times17$ $-51 = k$ $k = -51$ Therefore, our equation for the inverse variation is $y = \frac{-51}{x}$ or $xy = -51$
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