<p>If x cannot be 0, and x is inversely proportional to y, which of the following is directly proportional to 1/x^2?</p>
<p>The answer is y^2. Why. Thank you. Detailed explanation is appreciated.</p>
<p>x = k/y;
Setting k = 1 would make the math easy; Note that this has to be true for all values of k, so you have utter flexibility.
x = 1/y or x = y^-1;
Now to find the what = 1/x^2 we can raise both sides to the power of -2;
x^-2 = (y^-1)^-2
x^-2 = y^2;</p>
<p>This works with other values of k, of course. Let’s try k = 10;
x = 10/y or x = 10y^-1
x^-2 = 1/100x^2;</p>
<p>Effectively, the only thing that changed is the constant (the one which makes a fxn directly proportional). </p>
<p>Also note that if it was not 1/x^2 but x^2, this would be an inverse proportion.</p>