Question

Does each equation represent a proportional relationship? Choose Yes or No. y = 7x – 3 , y = 150x

Answer 1

A proportional relationship has a general equation

y = kx

y = 7x - 3 is not proportional. No.

y = 150x is proportional. Yes.

Answer 2

`y = 150x` is a proportional relationship.

Explanation:

We are given the following equations in the question:

`y = 7x - 3\\y = 150 x`

A proportional relationship is of the form:

`y = kx`

where k is a constant.

a)

`y = 7x-3`

It is not a proportional relationship as it does not take the form y = kx.

b)

`y = 150x`

It is a proportional relationship.

Comparing the equations, we get k = 150.