Question

If m varies directly with n, and m = 6 when n = 9, what is the value of n when m = 8?

Answer 1

a) n = 24
b) n = 12
c) n = 16/3
d) n = 27/4

Answer 2

M = 6 when N = 9
Half of 6 is 3. And 6 + 3 = 9.

So can you do the same thing when M = 8? @jjuden

Answer 3

\[\huge m=kn (k = non-zero constant)\]
\[\huge 6=9k\]
\[\huge k=\frac{ 6 }{ 9 }\]

Same thing you can do it for the other part

Answer 4

Half of 8 is 4. And 8 + 4 = 12.

You could've also done: 9 / 6 = 1.5

And 8 x 1.5 = 12.

Answer 5

@jjuden

Answer 6

\[n = 12\]

Answer 7

Because
\[m =k \times n\]
\[6 = k \times 9\]
\[k = \frac{ 6 }{ 9 }=\frac{ 2 }{ 3 }\]

So
\[8 = \frac{ 2 }{ 3 }\times n\]
\[n = \frac{ 8\times 3 }{ 2 } = \frac{ 24 }{ 2 }= 12\]