Mathematics, 06.07.2019 00:30 shanua
Suppose y varies directly with x. if y = -4 when x = 8, what is the equation of direct variation?
complete the steps to write the equation of direct variation.
1. start with the equation of direct variation y = kx.
2. substitute in the given values for x and y to get
3. solve fork to get
4. write the direct variation equation with the value found for k. the equation is
Answers: 2
![\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} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we also know that }~~ \begin{cases} y=-4\\ x=8 \end{cases}\implies -4=k(8)\implies \cfrac{-4}{8}=k\implies -\cfrac{1}{2}=k \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-\cfrac{1}{2}x~\hfill](/tpl/images/0055/9519/ba2e4.png)
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Suppose y varies directly with x. if y = -4 when x = 8, what is the equation of direct variation?
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