Respuesta :

Answer:

y = 20

Step-by-step explanation:

Given that y varies inversely with 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 = 8 when x = 5, then

k = yx = 8 × 5 = 40

y = [tex]\frac{40}{x}[/tex] ← equation of variation

When x = 2, then

y = [tex]\frac{40}{2}[/tex] = 20

Answer:

  • y=1/x
  • y=k/x
  • k=yx
  • given y=8, x=5
  • k=8×5=40
  • finding y when x=2
  • y=40/2=20ans
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