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5 votes
Direct Variation PLEASE HELP ME

Direct Variation PLEASE HELP ME-example-1
User Peleyal
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2 Answers

1 vote

just to add some to @DeanR's reply above.



\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}



\bf \stackrel{\textit{\underline{d}istance varies with applied \underline{f}orce}}{d=kf}\qquad \textit{we also know that } \begin{cases} f=100\\ d=5 \end{cases} \\\\\\ 5=k100\implies \cfrac{5}{100}=k\implies \cfrac{1}{20}=k~\hspace{8em}\boxed{d=\cfrac{1}{20}f} \\\\\\ \textit{when f = 360, what is \underline{d}?}\qquad d=\cfrac{1}{20}(360)\implies d=18

User Orphid
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2 votes

Direct variation means when we double the force we double the distance. Here we're increasing the force by a factor of 360/100 so our distance is


5 \textrm{ cm} * \frac{360 \textrm{ N}}{100 \textrm{ N}} = 18 \textrm{ cm}

Answer: 18

User Phil Birnie
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6.0k points