Answer:
C) 4
Step-by-step explanation:
Given equation:
[tex]2y=8x[/tex]
The above equation represents proportional relationship.
To find the constant of proportionality.
Solution:
The equation representing proportional relationship is given by:
[tex]y=kx[/tex]
where [tex]k[/tex] represents constant of proportionality.
So, in order to find the value of [tex]k[/tex] for the given proportionality relationship, we will solve for [tex]y[/tex]
We have:
[tex]2y=8x[/tex]
Solving for [tex]y[/tex]
Dividing both sides by 2.
[tex]\frac{2y}{2}=\frac{8x}{2}[/tex]
[tex]y=4x[/tex]
∴ [tex]k=4[/tex]
Thus, the constant of proportionality = 4.
