Question

Which equation represents a proportional relationship? a. y=−5(x+1) b. y = 5x + 1 c. y=−x d. y=15x

Answer 1

Answer: y= 15x represents a proportional relationship.

Step-by-step explanation:

A proportional relationship is one in which two quantities vary directly with respect to each other.

That is, We can say the variable varies directly as if: y = k x. for some constant , which is called the constant of proportionality .

Or we can say that the graph of the function that describes proportional relationship must passes through the origin.

And, It will show the proportional change ( that is, if x increases y increases and if x decreases y decreases)

Since,In Option  A) y=-5(x+1) if x increases y will decreases therefore it is not a proportional relationship.

In Option B) y = 5x + 1 since, the graph of this not passing through the origin therefore,  it is not a proportional relationship.

In Option C)  y=-x , if x increases y will decreases therefore it is not a proportional relationship.

In Option D) y=15x, The graph is passing through the origin also if x increses y will also increase therefore, It is proportional relationship.