\(\text{When two variables x and y, are inversely proportional, then: }\)
\(y=\dfrac{k}{x}\) or \(x=\dfrac{k}{y}\) where k is a constant to be determined.
So, let us use: \(y=\dfrac{k}{x}\)
How to find k? Use the given: \(x=2,y=4\)
\(4=\dfrac{k}{2} \implies k=8\)
Thus, \(y=\dfrac{8}{x} \)
Now, when y=1 then: \(1=\dfrac{8}{x} \implies x=8\)
Hope this helps!