Respuesta :

Answer:

k=1/2,x=9

Step-by-step explanation:

hope it was helpful

Answer:

k = 18, x = 1

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = 3 when x = 6, thus

k = yx = 3 × 6 = 18

y = [tex]\frac{18}{x}[/tex] ← equation of variation

When y = 18, then

18 = [tex]\frac{18}{x}[/tex] ( multiply both sides by x )

18x = 18 ( divide both sides by 18 )

x = 1