Question

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

x
-12
-1
?
-10
-30
O-8
-6
-5
04

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)`

`(-1)/(-3)=k`

`(1)/(3)=k`

Putting
`k=(1)/(3)` in (i), we get

`y=(1)/(3)x` ...(ii)

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

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

`y=(1)/(3)(-12)`

`y=-4`

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