robertjgarcia14 robertjgarcia14
  • 02-05-2020
  • Mathematics
contestada

If y varies inversely as x, and y = 3 when x = 6, find x when y = 18.
k = ______x = ______

Respuesta :

milaradojevic246 milaradojevic246
  • 02-05-2020

Answer:

k=1/2,x=9

Step-by-step explanation:

hope it was helpful

Answer Link
jimrgrant1 jimrgrant1
  • 02-05-2020

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

Answer Link

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