Respuesta :

Answer:

y = 6

Step-by-step explanation:

given x and y vary directly , then the equation relating them is

y = kx ← k is the constant of variation

To find k, substitute y = 9, x = 12 into the equation

9 = 12k ( divide both sides by 12 )

[tex]\frac{9}{12}[/tex] = k , then

k = [tex]\frac{3}{4}[/tex] = 0.75

y = 0.75x ← equation of variation

when x = 8 , then

y = 0.75 × 8 = 6