Question

Which of the following equations shows the proportional relationship between the distance (x) and the time taken (y)?

• A. $x=2y+3$
• B. $y=4x$
• C. $x=3y^2+1$
• D. $x=4y+2$

Answer 1

The correct option is B $y=4x$

Any equation which is of the form $y=kx$ forms a straight line passing through the origin.$y=4x$ is of the form $y=kx$, where k is the constant of proportionality.
Here, the constant of proportionality $k=4$.
Thus, the distance (x) and the time taken (y) are in proportional relationship in the equation $y=4x$.