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.

Explanation:

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

`k= (f(x_2))/(x_2)=(f(x_1))/(x_1)`

The given table:

x f( x )

0 0

2 -1

4 -2

7 -3.5

Then,

`k=(-1)/(2)=(-2)/(4)=(7)/(-3.5)=-0.5`

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