W is directly proportional to M squared. If W=12 when M=2 find:

M when W=75

Step-by-step explanation:

W & M^2

W = KM^2

K is our constant of proportionality

When W = 12, M = 2

12 = K * 2^2

12 = K * 4

12 = 4K

K = 12/4

K = 3

: - W = 3M^2

When W = 75

75 = 3*M^2

Dividing each terms by 3

M^2 = 75/3

M^2 = 25

M = √25

M = 5