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

(D)

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

(B) is of the form y=kx

(C) is of the form y=kx with as in its lowest form.

(C) is of the form y=kx with as in fractional form.

On the Contrary,

In Option D, does not represent a proportional relationship between x and y. The constant of proportion is supposed to be a product of x.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions