M varies jointly as the square of n and square root of q....
M varies jointly as the square of n and square root of q. If M = 24 when n = 2 and q = 4, find M when n = 5, q = 9.
288
400
300
225
Correct answer is D
M∝n2√q
M=Kn2√q
K = Mn2√q
K = 2422√4
k = 248=3
Now, let's find M when n = 5 and q = 9
M = Kn2√q
M = 3×52√9
M=3×25×3
Therefore, M = 225.