Given that y varies inversely as x, use the values of x and y from the following to calculate the value of a.

x 2 32
y 8 A

y varies inversely as x ----> y = k/x

if x=2, y=8
8 = k/2
k = 16

then y = 16/x

so if x=32
y = 16/32 = 1/2

A = 1/2