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

Answer:

(D) $y=x+\frac{1}{2}$

Step-by-step 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 $k=\frac{1}{2}$

(B)$y=\frac{1}{2}x$ is of the form y=kx

(C)$y=\frac{3}{6}x$ is of the form y=kx with $k=\frac{1}{2}$ as $\frac{3}{6}=\frac{1}{2}$ in its lowest form.

(C)$y=0.5x$ is of the form y=kx with $k=\frac{1}{2}$ as $0.5=\frac{1}{2}$ in fractional form.

On the Contrary,

In Option D, $y=x+\frac{1}{2}$ does not represent a proportional relationship between x and y. The constant of proportion is supposed to be a product of x.