If two variables, x and y vary inversely, the equation relating them would be
y = k/x
where
k represents the constant of proportionality
We were told that the number of revolutions made by a tire traveling over a Fixed distance
varies inversely with the radius of the tire. This means that
n = k/r
where
n = number of revolutions
r = radius
If r = 12 and n = 100, then
100 = k/12
k = 12 * 100 = 1200
The formula would be
n = 1200/r
Thus, if r = 16, then
n = 1200/16
n = 75
It would require 75 revolutions