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

Answer:

Option C is correct.

Constant of variation k = -0.5

Step-by-step 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;

$k = -\frac{2}{4} = -0.5$

Therefore, the constant of variation is, -0.5