Answer:
-417
Step-by-step explanation:
Two variables x,y are inversely proportional to each other when there exists a relationship between them as follows:
[tex]x\cdot y=const.[/tex]
So, the product of the two variables is constant.
In this problem, at the beginning we have:
x = -12
y = 139
So, the value of the constant product of the two variables is
[tex]k=const=xy=(-12)(139)=-1668[/tex]
Now we can find the value of y when
x = 4
In fact, using again the original equation and re-arranging it, we have:
[tex]y=\frac{k}{x}=\frac{-1668}{4}=-417[/tex]
