Question

Which relationship between x and y in the equation shows a proportional relationship? A. y=4x+2 B. y=x−2 C. y=x2+2 D. y=8x

Answer 1

Correct Option is:

$\boxed{D. \ y = 8x}$

Explanation:

Two quantities are proportional if we can write one of them as k times the other. In other words, if x and y represents quantities, then if they stands for a proportional relationship we can write:

$y\propto x \rightarrow y=kx$

In whose case, we will have a linear function with slope k and that passes through the origin. From the options, the only one that matches our definition is Option D.

So correct Option is:

$\boxed{D. \ y = 8x}$

Learn more:

Constant of proportionality: brainly.com/question/10945121

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