## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 11 - Rational Expressions and Functions - 11-6 Inverse Variation - Practice and Problem-Solving Exercises - Page 703: 36

#### Answer

$\frac{1}{6}$

#### Work Step by Step

(x and y are in an inverse variation if xy=k) $\frac{1}{3}\times\frac{1}{4}=\frac{1}{12}$ so $x\times\frac{1}{2}=\frac{1}{12}$ $\frac{1}{2}x=\frac{1}{12}$ (Multiply each side by 2) $x=\frac{1}{6}$

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