Question

If the relationship is proportional, what is the missing value from the table

Answer 1

Given:

Consider the below figure attached with this question.

The table represents a proportional relationship.

To find:

The missing value from the table.

Solution:

If y is proportional to x, then

$y\propto x$

$y=kx$                 ...(i)

Where, k is a constant of proportionality.

The relationship passes through the point (-3,-1). Substituting $x=-3,y=-1$ in (i), we get

$-1=k(-3)$

$\dfrac{-1}{-3}=k$

$\dfrac{1}{3}=k$

Putting $k=\dfrac{1}{3}$ in (i), we get

$y=\dfrac{1}{3}x$           ...(ii)

We need to find the y-value for $x=-12$.

Substituting $x=-12$ in (ii), we get

$y=\dfrac{1}{3}(-12)$

$y=-4$

Therefore, the missing value in the table is -4. Hence, option D is correct.