Which equation(s) represents a proportional relationship?

A) y = 5 + x
B) y = 4x
C) y = 7x²
D) y = 2 - x

To determine if an equation represents a proportional relationship, we need to check if it follows the form y = kx, where k is a constant.

Let's examine each equation:

A) y = 5 + x: This equation does not represent a proportional relationship because the y-intercept is 5, meaning the value of y does not depend solely on the value of x.

B) y = 4x: This equation represents a proportional relationship because it follows the form y = kx, where k = 4. The value of y is directly proportional to the value of x multiplied by the constant 4.

C) y = 7x²: This equation does not represent a proportional relationship because the power of x is ², which means the relationship between y and x is not linear.

D) y = 2 - x: This equation does not represent a proportional relationship because the value of y does not depend solely on the value of x.

Therefore, only equation B) y = 4x represents a proportional relationship.

The answer should be B.

y=4x implies y is for times of x. So x:y::1:4