Question

Which equation has a constant of proportionality equal to 4? 

A

4y=4x

B

4y=12x

C

3y=4

D

3y=12x

Answer 1

To find which equation has a constant of proportionality equal to 4, we need to express each equation in the form \( y = kx \), where \( k \) is the constant of proportionality.

Let's analyze each option:

**A: \( 4y = 4x \)**
Divide both sides by 4:
\( y = x \)
Here, the constant of proportionality \( k = 1 \).

**B: \( 4y = 12x \)**
Divide both sides by 4:
\( y = 3x \)
Here, the constant of proportionality \( k = 3 \).

**C: \( 3y = 4 \)**
Divide both sides by 3:
\( y = \frac{4}{3} \)
This is a constant, not a proportional relationship.

**D: \( 3y = 12x \)**
Divide both sides by 3:
\( y = 4x \)
Here, the constant of proportionality \( k = 4 \).

Among the options, the equation with a constant of proportionality equal to 4 is:

**D: \( 3y = 12x \)**