Omg im on my ! if z varies inversely as w, and z=4 when w=9, find z when w=12

z=3. If z varies inversely as w, and z=4 when w=9, then when w=12 the value of z is 3.

The key to solve this problem is using reverse proportionality, in which two magnitudes a and b are inversely proportional when there is a constant k such that

a⋅b=k, where constant k is called the proportionality constant.

Then if z varies inversely as w, and z=4 when w=9

z.w=k > 4.9=k > k=36

So, let's find z when w = 12. With k = 36

z.w=K, clear z from the equation

z=k/w > z=36/12 > z=3