### Video Transcript

The variable π is inversely
proportional to the square of the variable π. Circle the correct equation given
that π is a constant. The options are π equals π over
π, π equals π over π squared, π equals ππ, and π equals ππ squared.

So what Iβm gonna do is look at
each of our possible answers in turn. The first one is π equals π over
π. So π equals π over π can also be
written as π and then the proportionality sign then one over π. And what this means is that π is
inversely proportional to π.

Well, if we look at the question,
we want the variable π to be inversely proportional to π. So that part is correct. However, we want it to be inversely
proportional to the square of the variable π and thatβs not the case in this first
answer. So therefore, this first answer is
not the correct one.

Well, if we take a look at the
second answer, weβve got π again is inversely proportional. So thatβs the first part
correct. And then, it says βto π squaredβ
because we have π squared as the denominator. Well, this is correct as well
because we were looking for the variable π to be inversely proportional to the
square of the variable π. So therefore, this looks like itβs
gonna be the correct answer. But weβll double check the last two
just to make sure.

Well, we can deal with the last two
together. Because if we look at them both, we
have π equals ππ and π equals ππ squared. Well, both of these are not one
over. So theyβre not inversely
proportional. Theyβre both in fact directly
proportional.

So as weβre looking for an
inversely proportional relationship, we can definitely rule these two out. So therefore, we can say that the
second equation is definitely the correct equation to show that the variable π is
inversely proportional to the square of the variable π.