x is inversely proportional to P. When P = 6, x =2. What does x = when P = 4?

We know x is inversely proportional to P, so immediately we know their relationship is of the form x = k/P , where k is a constant. We are also given some conditions we can use to solve for k: when x = 2, P = 6. Subbing these into our equation: 2 = k/6, and multiplying both sides by 6 gives k = 12. We can now substitute this in for our second conditions, when P = 4. As k is a constant its value remains unchanged, even as P and x do, therefore: x = 12/4 i.e x = 3.