Question

Which equation does NOT represent a proportional relationship between two variables with the constant of proportinality of? 1/2 A Y=X+1/2 B Y=1/2X C Y=3/6X D Y=0.5X

Answer 1

(D)
`y=x+(1)/(2)`

Explanation:

Two variables x and y are proportionally related if they can be written in the form y=kx, where k is the constant of proportionality.

From the given options, if
`k=(1)/(2)`

(B)
`y=(1)/(2)x` is of the form y=kx

(C)
`y=(3)/(6)x` is of the form y=kx with
`k=(1)/(2)` as
`(3)/(6)=(1)/(2)` in its lowest form.

(C)
`y=0.5x` is of the form y=kx with
`k=(1)/(2)` as
`0.5=(1)/(2)` in fractional form.

On the Contrary,

In Option D,
`y=x+(1)/(2)` does not represent a proportional relationship between x and y. The constant of proportion is supposed to be a product of x.