Question

F is inversely proportional to √ g . When f = 8 , g = 81 Work out g when f = 4

Answer 1

Explanation:

The question is basically saying that f is equal to
`(k)/(√(g) )`

when f=8, g=81. Therefore 8=
`(k)/(√(81) ) =(k)/(9)`.

Then the next step is to simplify the equation, so k = 72.

The next step is to plug k=72 back into the original equation.

f=
`(72)/(√(g) )`

Then you do the last step which is to plug f=4 into the equation which will result in 4=72/sqrt(g) => 4*sqrt (g) =72. Therefore sqrt (g) = 72/4 = 18. Then you square both sides and you get g=324.