Question

Which set of values could be from a direct proportion?

Answer 1

It is A, because a direct proportion follows the rule y=kx, and in A, k = 12 and it works for all of the x and y values

Answer 2

Answer: Option 'A' is correct.

Explanation:

Since we know that

Direct proportion means with every increase in x, there is increase in y with constant k. i.e.

`(x)/(y)=k`

So, it becomes,

A)

`(x_1)/(y_1)=(x_2)/(y_2)=(x_3)/(y_3)=(x_4)/(y_4)\\\\(0.5)/(6)=(1)/(12)=(2)/(24)=(3)/(36)`

Here,
`k=(1)/(12)`

So, it is in direct proportion.

b)

`(x_1)/(y_1)=(x_2)/(y_2)=(x_3)/(y_3)=(x_4)/(y_4)\\\\(0)/(0)\\eq(1)/(1)\\eq(2)/(4)\\eq(3)/(6)`

C)

`(x_1)/(y_1)=(x_2)/(y_2)=(x_3)/(y_3)=(x_4)/(y_4)\\\\(0)/(2)\\eq(2)/(4)\\eq(4)/(6)\\eq(6)/(8)`

Hence, we can see that Option 'A' is correct.