Question

It is given that D is inversely proportional to v m

and D = 64 when m = 9. Find
(a) the value of D when m = 4,
(b) the value of m when D = 32,

Answer 1

Explanation:

`D=(k)/(√(m))\\\\64=(k)/(√(9))\\\\64=(k)/(3)\\\\ 64*3=k\\\\k=192\\a)D=(192)/(√(4))\\\\=(192)/(2)\\\\D=96\\\\b)32=(192)/(√(m))\\\\ 32*√(m)=192\\\\√(m)=(192)/(32)=6\\\\m=36`