Variations college math

Question

if z varies inversely as W, and z=20 when w=0.8, find z when w=20

Answer 1

If Z varies inversely as W, and Z= 20 when W= 0.8

Lets express this in mathematical terms

Z ∞1/W (Inverse relationship)

Then the relationship that exists between Z and W is Z= K/W, where K is CONSTANT.

Where Z = 20 and W = 0.8

Z= K/W... 20 = K/0.8

K= 16.

To find Z when W = 20

Z= 16/W.

Z = 16/20

Z= 0.8

QED