we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
so
[tex]H(x)*x=k[/tex]
Step 1
Find the value of k
In this problem we have
[tex]H(x)=50[/tex] for [tex]x=0.25[/tex]
Substitute
[tex]k=50*0.25[/tex]
[tex]k=12.5[/tex]
The equation of the inverse variation is equal to
[tex]H(x)=\frac{12.5}{x} [/tex]
Step 2
Find the value of H(x) for [tex]x=2[/tex]
Substitute in the formula
[tex]H(2)=\frac{12.5}{2}=6.25[/tex]
therefore
the answer is the option B
[tex]6.25[/tex]
