Question

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

What is H(x) when x = 2?

A. 0.5
B. 6.25
C. 12.5
D. 24

Answer 1

B. 6.25

Explanation:

Got it right on the 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)=(12.5)/(x)`

Step 2

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

Substitute in the formula

`H(2)=(12.5)/(2)=6.25`

therefore

the answer is the option B

`6.25`