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the length, l, of the shadow cast by an object varies directly as the height , h, of the object. if , k, is the constant of the variation, which equation represents this situation? a: l+h=kb: lh= kc:l= hkd: l = h+k

the length, l, of the shadow cast by an object varies directly as the height , h, of-example-1
User Leusrox
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1 Answer

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In general, a directly proportional variation has the form shown below


\begin{gathered} y=cx \\ c\rightarrow\text{ constant} \\ x,y\rightarrow\text{ variables} \end{gathered}

In our case,


\begin{gathered} y=l,x=h,k=c \\ \Rightarrow l=kh=hk \end{gathered}

Therefore, the answer is l=hk, option C.

User Chachan
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