Answer:
y = 16
Step-by-step explanation:
Use the inverse variation equation, y = [tex]\frac{k}{x}[/tex]
Plug in 8 as x and 4 as y, then solve for k
y = [tex]\frac{k}{x}[/tex]
4 = [tex]\frac{k}{8}[/tex]
32 = k
So, k is 32.
The equation is y = [tex]\frac{32}{x}[/tex]
Plug in 2 as x and solve for y
y = [tex]\frac{32}{x}[/tex]
y = [tex]\frac{32}{2}[/tex]
y = 16
So, when x = 2, y = 16
