Sam wants to write an equation to represent a proportional relationship with a constant of proportionality of 6. He writes the equation y = 6 + x.

Is he correct. If not, what is the correct equation? Explain your answer. Consider the graph of the equation in your response.

Question

Mathematics

Jakobe

Today, 21:06

Sam wants to write an equation to represent a proportional relationship with a constant of proportionality of 6. He writes the equation y = 6 + x.

Is he correct. If not, what is the correct equation? Explain your answer. Consider the graph of the equation in your response.

+3

Answers (2)

Know the Answer?

Solomon Martinez · Answer 1

No, Sam is not correct. The graph of a proportional relationship has the form y = kx, where k is the constant of proportionality. Sam added the constant of proportionality instead of using it as the coefficient of x. The correct equation is y = 6x. Sam's graph would be a straight line, but it would not pass through the origin.

Milo Hancock · Answer 2

No

Step-by-step explanation:

The COP is always the coefficient

ex. y=6x the COP is 6

Sam wants to write an equation to represent a proportional relationship with a constant of proportionality of 6. He writes the equation y = 6 + x.Is he correct. If not, what is the correct equation? Explain your answer. Consider the graph of the equation in your response.

Sam wants to write an equation to represent a proportional relationship with a constant of proportionality of 6. He writes the equation y = 6 + x.

Is he correct. If not, what is the correct equation? Explain your answer. Consider the graph of the equation in your response.