Question

m varies jointly with the square of n and the square root of q. If m = 24 when n = 2 and q = 4, find m when n = 5 and q = 9.

Answer 1

`m = k {n}^(2) √(q)`

`24 = k ({2}^(2) ) (√(4) )`

`24 = k(4)(2)`

`8k = 24`

`k = 3`

`m = 3(5)( √(9) )`

`m = 15(3) = 45`