Question

In a formula, z varies inversely as p. If z is 200 when p is 4, find z when p is 20.

Answer 1

Hey Kenyatta,
If z varies inversely with p,
the formula involving z and p looks like this,\[\large\rm z=\frac{k}{p}\]Where k is an unknown `constant` of proportionality.

Answer 2

z=200 when p=4,\[\large\rm z=\frac{k}{p}\qquad\to\qquad 200=\frac{k}{4}\]Solve for k.

Answer 3

That will be the first step.