Question

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

What is H(x) when x = 2?

Answer 1

If x and H(x) vary inversely, then x H(x) = k

we will find k, by substituting x = 0.25 and H9X) = 50

so .25(50) = k

k = 12.5

So our equation is x H(x) = 12.5

So now, we want H(x) when x = 2, substitute, we get
2 H(x) = 12.5
H(x) = 6.25