Answer:
y = [tex]\frac{1}{4}[/tex]
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 = 16 when x = [tex]\frac{1}{2}[/tex]
k = yx = 16 × [tex]\frac{1}{2}[/tex] = 8
y = [tex]\frac{8}{x}[/tex] ← equation of variation
When x = 32, then
y = [tex]\frac{8}{32}[/tex] = [tex]\frac{1}{4}[/tex]
