Question

Which set of values could be from a direct proportion

Answer 1

"A"

Explanation:

I got it correct

Answer 2

First table

Explanation:

We have to find the set of value which could be from a direct proportion.

We know that

Direct proportion :

When x is directly proportional to y

`x\propto y`

`x=ky`

Where k=Proportionality constant

`k=(x)/(y)`

K remain constant when x and y are in direct proportion

From first table

`k=((1)/(2))/(6)=(1)/(12)`

`k=(1)/(12)`

`k=(2)/(24)=(1)/(12)`

`K=(3)/(36)=(1)/(12)`

When x and y are both varies then ratio of x and y remain constant.Hence, it is in direct proportion.

From second table

`k=(0)/(0)=` not ]define

`k=(1)/(1)=1`

It is not direct proportion because k does not remain constant.

From third table

`k=(0)/(2)=0`

`k=(2)/(4)=(1)/(2)`

It is not direct proportion because k does not remain constant.