M varies......continued in details?

Question

M varies directly as the square of V. When V=4, M=24. WHat is the value of M when V=6? and please show ALL steps.

Answer 1

If M varies directly as v² then

M = kV²

for some k

in this case

24 = k(4)² = k*16

so k = 1.5

Now it's just 'plug 'n play

M = 1.5*6² = 1.5*36 = 54


Doug

Answer 2

M = kV^2

24 = k * 4^2
24 = 16k
k = (24/16)
k = (3/2)

M = (3/2)(6^2)
M = (3/2)(36)
M = 3 * 18
M = 54

Answer 3

v=4: M=24
it can be wriiten as v=x;m=x^2+2*x
therfore when v=6; M=6^2+2*6=48

Answer 4

(k= constant):
M = k v ^2
Plug it in!:
24 = k * 4^2
Simplify:
24 = k * 16
commutative:
k = 1.5
Put it in equation:
M = 1.5 v ^2
Check:
24 = 1.5 * 4^2
Correct : )