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
