Question

Suppose that H(x) varies inversely with x and H(x) = 50 when x = 0.25.

Answer 1

The answer here is 6.25.
I've already worked on this quiz.~

Answer 2

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

so

$H(x)*x=k$

Step 1

Find the value of k

In this problem  we have

$H(x)=50$  for $x=0.25$

Substitute

$k=50*0.25$

$k=12.5$

The equation of the inverse variation is equal to

$H(x)=\frac{12.5}{x}$

Step 2

Find the value of H(x) for $x=2$

Substitute in the formula

$H(2)=\frac{12.5}{2}=6.25$

therefore

the answer is the option B

$6.25$