Question

Solve for k, the constant of variation, in a direct variation problem, where x = 2 and y = 12.k=1/24k=6k=24k=1/6

Answer 1

$k=6$

1) Typically, a direct variation is given as:

$y=kx$

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"

$\begin{gathered} y=kx \\ 12=k2 \\ 12=2k \\ \frac{12}{2}=\frac{2k}{2} \\ k=6 \end{gathered}$

Thus, the answer is k=6