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

we know that

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

so

Step 1

Find the value of k

In this problem  we have

 for

Substitute

The equation of the inverse variation is equal to

Step 2

Find the value of H(x) for

Substitute in the formula

therefore

the answer is the option B

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.