Chapter 8 Rational Functions - 8.3 Graph General Rational Functions - 8.3 Exercises - Quiz for Lessons 8.1-8.3 - Page 571: 3

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The general equation for inverse variation is: $x=\frac{a}{y}$ where $a$ is some constant. Then plugging in the given values for $x,y$ we get: $-5=\frac{a}{\frac{8}{3}}\\a=-5\frac{8}{3}=\frac{-40}{3}$. Thus the model is: $x=\frac{\frac{-40}{3}}{y}$. Then plugging in $x=-4$: $-4=\frac{\frac{-40}{3}}{y}\\1=\frac{\frac{10}{3}}{y}\\\frac{10}{3}=y$