Question

The number of revolutions made bya tire traveling over a Fixed distanceVaries inversely with the radius ofthe tire. A 12-inch radius tire makes100 revolutions to travela certiandistance. How Many revolutionsWould a 16-inch radius tirerequire to travel the same distance

Answer 1

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