Question

If the point (12, 4) lies on the graph of a direct variation, what is the constant of variation?

Answer 1

Answer:

Option B $\frac{1}{3}$ is the constant of variation.

Step-by-step explanation:

Given direct variation points $(12,4)$.

Lets assign $(x,y)$ to $(12,4)$.

And we know that in direct variation if one value increases other also increases or vice versa.

Where we can say that coordinate points can be shown as $y=k(x)$

$k$ is the constant of variation or the constant of proportionality.

So plugging the values of $y=4$ and $x=12$.

$y=k(x)$

Dividing both sides with $x$.

$k=\frac{y}{x}=\frac{4}{12}=\frac{1}{3}$

So the constant of variation is $\frac{1}{3}$ and option B resembles the same.