Write an equation that gives the proportional relationship of the graph.

Responses

A y = 3x
B y = 15x
C y = 15x
D y = 5x

It seems there is a duplicated option. Assuming that one of the options should be different, the correct answer would be:

B. y = 15x - This is the equation of a straight line that passes through the origin with a slope of 15. It represents a proportional relationship, where y is directly proportional to x with a constant of proportionality of 15.

My bad Answer choice B is supposed to be B y = 1/5x

No problem! In that case, the correct answer would be:

D. y = 5x - This equation is the proportional relationship of the graph. It represents a situation where y is directly proportional to x with a constant of proportionality of 5.

thank you

You're welcome! Don't hesitate to ask if you have more questions.

To determine the proportional relationship of a graph, we need to look at the equation that represents it. In this case, we are given four options: A, B, C, D.

Option A: y = 3x
Option B: y = 15x
Option C: y = 15x
Option D: y = 5x

The equation that represents a proportional relationship should have a constant ratio of y to x, meaning that any value of x can be multiplied by the same ratio to get the corresponding value of y. Looking at the options, we can see that both options B and C, y = 15x, are the same.

Therefore, the correct equation that gives the proportional relationship of the graph is y = 15x, which corresponds to options B and C.