Question

Find the constant of variation k for the direct variation. x f ( x ) 0 0 2 –1 4 –2 7 –3.5 k = 0.5 k = –2 k = –0.5 k = 0

Answer 1

-0.5

Explanation:

Answer 2

Option C is correct.

Constant of variation k = -0.5

Explanation:

The direct variation says that:

`y \propto x`

then, the equation is of the form:
`y =kx` .....[1] where k is the constant of variation.

Given the table:

x f(x)=y

0 0

2 -1

4 -2

7 -3.5

Consider any values from the tables

x = 4 and y=f(x) = -2

Substitute these values in equation [1] we have;

`-2 = 4k`

Divide both sides by 4 we get;

`k = -(2)/(4) = -0.5`

Therefore, the constant of variation is, -0.5