Question

F

is inversely proportional to
√
g
.
When
f
=
10
,
g
=
121

Work out
f
when
g
=
25

Answer 1

f = 22

Explanation:

From the question

`f \alpha \: (1)/( √(g) )`

Meaning, f is inversely proportional to √g

Therefore,

`f \: = \: (k)/( √(g) )`

Where, k is constant

Making k subject of the formula,

k = f·√g

Slotting our values of f = 10, when g = 121,

k = 10·√121

k = 10·11

k = 110

Now that we have our constant,

To find f when g = 25,

`f \: = \: (k)/( √(g) )`

Slotting in,

k = 110, g= 25,

We have,

f = 110/√25

f = 110/5

f = 22, when g=25