Answer:
D) 3y = 12x
Step-by-step explanation:
1. To find the constant of proportionality, k, we need to convert each equation into the form of y = kx.
A:
- [tex]\frac{4y}{4} = \frac{4x}{4}[/tex]
- [tex]y = x[/tex]
- The constant of proportionality for this equation is 1, not 4, so this is incorrect.
B:
- [tex]\frac{4y}{4} = \frac{12x}{4}[/tex]
- [tex]y = 3x[/tex]
- The constant of proportionality of this equation is 3, not 4, so this is incorrect.
C:
- [tex]\frac{3y}{3} = \frac{4x}{3}[/tex]
- [tex]y = \frac{4}{3}x[/tex]
- The constant of proportionality of this equation is 4/3, not 4, so this is incorrect.
D:
- [tex]\frac{3y}{3}= \frac{12x}{3}[/tex]
- [tex]y = 4x[/tex]
- The constant of proportionality of this equation is 4, so this is correct.
Therefore, the answer is D) 3y = 12x.
