Question

It is given that y is directly proportional to x.
What is the constant of variation?

Answer 1

-4

Explanation:

Answer 2

The constant of variation is -4

Explanation:

If y is directly proprtional to x, then we write:

`y \propto \: x`

If we introduce the constant of proportionality or variation k, then we obtain:

`y = kx`

When x=1, y=-4 (We can choose any ordered pair from the table)

`- 4 = k(1)`

`k = - 4`

Therefore the constant of variation is -4.