Question

Which relationship between x and y in the equation shows a proportional relationship?

1. y=5(x+3)
2. y = 5x + 3
3. y=x−2
4. y = 3x

Answer 1

4. y = 3x

Explanation:

A proportional relationship is one in which the ratio of two variables is always constant. This is also known as direct proportion.

Out of the given options, the equation that shows a proportional relationship is:

4. y = 3x

In this equation, the ratio of y to x (y/x) is always 3, so the relationship between y and x is proportional. As x increases, y also increases at a constant rate, and as x decreases, y decreases at a constant rate. This type of relationship is often represented by the equation y = kx, where k is the constant of proportionality.