Answer:
1/4 (or .25)
Step-by-step explanation:
y varies inversely with x, so
[tex]y=\frac{k}{x}[/tex]
for some constant k. Use the given pair y = 16, x = 0.5 to find k.
[tex]16=\frac{k}{0.5} \\ 16(0.5) = k \\ k=8[/tex]
Now, use x = 32 to find y that corresponds to it.
[tex]y=\frac{8}{32} = \frac{1}{4}[/tex]