Question

Does each equation represent a proportional relationship? Choose Yes or No.

Answer 1

Hi there!  

»»————-　★　————-««

I believe your answer is:  

$y = 7x - 3\leftarrow \text{No.}\\\\y = 150x \leftarrow \text{Yes.}$

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

$\boxed{\text{General Proportional Formula:}}\\\\y = kx\\\rule{150}{0.5}\\ \bullet \text{ } k - \text{Constant of Proportionality}\\\rule{150}{0.5}\\\text{Since } y=150x \text{ is in this form, we can say that it is a proportional relationship.}\\\rule{150}{0.5}\\\text{We can also tell if something is proportional by graphing them.}$

$\textbf{Proportional graphs go through the origin.}$

⸻⸻⸻⸻

Since y = 7x - 3 does not pass the origin, it is not proportional. However, y = 150x does, so it is proportional.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.