Respuesta :

Answer:

y = [tex]\frac{1}{4}[/tex] x

Step-by-step explanation:

Given that x and y vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the pair of values x = 12, y = 3

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex]

y = [tex]\frac{1}{4}[/tex] x ← equation of variation