Question

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Find the constant of variation k for the direct variation. x f ( x ) 0 0 2 –1 4 -2 7 -3.5

Answer 1

Answer: -0.5.

Step-by-step explanation:

The constant of variation k for the direct variation is given by:-

$k= \dfrac{f(x_2)}{x_2}=\dfrac{f(x_1)}{x_1}$

The given table:

x  f( x )

0   0

2   -1

4    -2

7   -3.5

Then,

$k=\dfrac{-1}{2}=\dfrac{-2}{4}=\dfrac{7}{-3.5}=-0.5$

Hence, the constant of variation k for the direct variation is -0.5.