Question

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

Answer 1

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.