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2 months ago

Is m=0.75d-2 proportional?

2 answers:

4 0

A proportion maintains a consistent ratio m/d

If m = 0.75d, then the m/d ratio translates to (0.75d)/d = 0.75

In this case, the ratio can be expressed as (.75d-2)/d = 0.75 - (2/d).

Thus, it is not proportional.

zzz [12.3K]2 months ago

4 0

Response:

The equation m=0.75d-2 does not depict a proportional relationship.

To explain it step-by-step:

The equation given is

$m=0.75d-2$

We need to determine if this equation shows a proportional relationship or not.

If y is directly proportional to x, then

$y\propto x$

$y=kx$

where k represents the proportionality constant.

At x=0, y must equal 0. This indicates that a linear equation must cross the origin to be proportional.

Substituting d=0 into the given equation results in

$m=0.75(0)-2$

$m=-2$

The line will intersect at the coordinates (0,-2).

Since this line does not go through the origin, it cannot represent a proportional relationship.

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