Respuesta :

Answer:

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

Step-by-step explanation:

Given that the quantities vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use either of the 2 given points

Using (12, 9), that is x = 12 when y = 9, then

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{9}{12}[/tex] = [tex]\frac{3}{4}[/tex]

y = [tex]\frac{3}{4}[/tex] x ← equation of variation

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