Question

Which equation represents a proportional relationship?

A) y=2(x+1/3)
B) y = 3x
C) y=−3x+2
D) y=1/2x

Answer 1

B

Explanation:

Answer 2

y = 3 x equation represents a proportional relationship.

Answer: Option B

Explanation:

A proportional variation represents a relationship between two variables x and y. It can be expressed in the form y=k x. Here, the ‘k’, the proportionality constant is equal to the slope m and the line goes through the origin

case A)
`y=2\left(x+(1)/(3)\right)`

A linear equation that not passes through the origin and so not proportional variation

case B) y= 3 x

Is a linear equation but passes through the origin and so proportional variation

case C) y = - 3x+2

A linear equation that not passes through the origin and so not proportional variation

case D)
`\text { D) } y=(1)/(2 x)`

An inverse variation equation but not passes through the origin and so not proportional variation.

From these, equation option B is the proportion equation because in these equations, there is no addition and subtraction of any constant number. That’s why both these equations become proportional equations.