cassidy32504 cassidy32504
  • 12-02-2018
  • Mathematics
contestada

which equation is the direct variation equation if f(x) varies directly with x and f(x)=-18 when x=3

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jdoe0001 jdoe0001
  • 12-02-2018
[tex]\bf \qquad \qquad \textit{direct proportional variation}\\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{f(x)}{y}=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{we also know that } \begin{cases} y=-18\\ x=3 \end{cases}\implies -18=k3 \\\\\\ \cfrac{-18}{3}=k\implies -6=k\qquad therefore\qquad \boxed{\stackrel{f(x)}{y}=-6x}[/tex]
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