Respuesta :

wizard123
no, a proportion will have a constant for the ratio m/d

If m = 0.75d, then ratio m/d = (0.75d)/d = 0.75

In this example, the ratio is (.75d-2)/d = 0.75 - (2/d).

Therefore, it is not proportional.

Answer:

No, the equation m=0.75d-2 does not represent proportional relationship.

Step-by-step explanation:

The given equation is

[tex]m=0.75d-2[/tex]

We need to check whether the given equation represents proportional relationship or not.

If variable y is proportional to variable x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

where, k is the constant of proportionality.

At x=0 the value of y is 0. It means, if a linear equation represents proportional relationship then it must be passes though the origin.

Substitute d=0 in the given equation.

[tex]m=0.75(0)-2[/tex]

[tex]m=-2[/tex]

The line passes through the point (0,-2).

Since the line does not pass through the origin, therefore it does not represent proportional relationship.