Question

Which of the following equations shows the proportional relationship between the budget (x) and the number of people who are invited to an event (y)?

• A. $2x+3y=10$
• B. $y=10x+2$
• C. $y=20x$
• D. $x=10y+3$

Answer 1

The correct option is C $y=20x$

Any equation which is of the form $y=kx$, passes through the origin.
$y=20x$ is of the form $y=kx$, where k is the constant of proportionality.
Here, the constant of proportionality, $k=20$.
Thus, the budget (x) and the number of people who are invited to an event (y) are in a proportional relationship.