Question

Which equation represents a proportional relationship that has a constant of proportionality equal to 4/5

Answer 1

Answer:

Option B) y=4/5x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

we have that

case A) y=x+4/5

The line does not passes through the origin, is not a proportional relationship

case B) y=(4/5)x

The line passes through the origin ---->represents a proportional relationship

The slope m is equal to the constant of proportionality k

The slope m=4/5

therefore

The line  y=4/5x

Represents a proportional relationship that has a constant of proportionality equal to 4/5

case C) xy=4/5

Represent an inverse variation is not a proportional relationship

case D) x+y=(4/5)

The line does not passes through the origin, is not a proportional relationship