Answer: -0.5.
Step-by-step explanation:
The constant of variation k for the direct variation is given by:-
[tex]k= \dfrac{f(x_2)}{x_2}=\dfrac{f(x_1)}{x_1}[/tex]
The given table:
x f( x )
0 0
2 -1
4 -2
7 -3.5
Then,
[tex]k=\dfrac{-1}{2}=\dfrac{-2}{4}=\dfrac{7}{-3.5}=-0.5[/tex]
Hence, the constant of variation k for the direct variation is -0.5.
