Question

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

A) y=x+4/5
B) y=4/5x
C) xy = 4/5
D) x+y=4/5

Answer 1

The Answer is B.

Explanation:

Trust me .

Answer 2

Option B) y=4/5x

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