Question

F

is inversely proportional to
√
g
.
When
f
=
12
,
g
=
36

Work out
g
when
f
=
8

Answer 1

g = 81.

Explanation:

f = k/√g where k is a constant

When f = 12 g = 36, so:

12 = k/√36 = k/6

k = 12*6 = 72.

So the relation is:

f = 72/√g

When f = 8:

8 = 72/√g

8√g = 72

√g = 72/8 = 9

g = 9^2 = 81.