combskatherine4 combskatherine4
  • 18-10-2017
  • Mathematics
contestada

if y varies directly as x and y=6 when x =-7, find y when x is 4

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jdoe0001 jdoe0001
  • 18-10-2017
[tex]\bf \qquad \qquad \textit{direct proportional variation}\\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\ \begin{cases} y=6\\ x=-7 \end{cases}\implies 6=k(-7)\implies -\cfrac{6}{7}=k \\\\\\ thus\qquad \boxed{y=-\cfrac{6}{7}x} \\\\\\ \textit{when x = 4, what is \underline{y}?}\qquad y=-\cfrac{6}{7}(4)[/tex]
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