micaelevitoria6 micaelevitoria6
  • 14-05-2021
  • Mathematics
contestada

in an inverse variation, x=2 when y=-4. what is the value of y when x=16

Respuesta :

rococo908
rococo908 rococo908
  • 14-05-2021

Answer:

y = -1/2

Step-by-step explanation:

Use the inverse variation equation, y = [tex]\frac{k}{x}[/tex]

Plug in 2 as x and -4 as y, then solve for k:

y = [tex]\frac{k}{x}[/tex]

-4 = [tex]\frac{k}{2}[/tex]

-8 = k

So, the equation is y = [tex]\frac{-8}{x}[/tex]

Plug in 16 as x and solve for y:

y = [tex]\frac{-8}{x}[/tex]

y = [tex]\frac{-8}{16}[/tex]

y = -1/2

So, when x = 16, y = -1/2

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