Lf g varies inversely as the square root of h, and g = 4 when h = 100, find g when h = 25.

g = 8

Step-by-step explanation:

This is a question of inverse proportion

g varies inversely as √h

g ∝ 1/√h

Where ∝ = proportional symbol

g = k/√h

Where k is constant

When:

g = 4

h = 100

4 = k/√100

4 = k/10

k = 4*10 = 40

Hence the relationship between g and h:

g = 40/√h

To find g when h = 25, we would insert the new value of h in their relationship

g = 40/√25

g = 40/5

g = 8

Hence when h decreases, g increases and vice-versa.