Respuesta :

[tex]k=6[/tex]

1) Typically, a direct variation is given as:

[tex]y=kx[/tex]

2) Since we were told that x=2 and y =12 we can plug those variables into the formula and find the constant of variation "k"

[tex]\begin{gathered} y=kx \\ 12=k2 \\ 12=2k \\ \frac{12}{2}=\frac{2k}{2} \\ k=6 \end{gathered}[/tex]

Thus, the answer is k=6