SOLUTION: Find the constant of variation k. m varies directly with n; m = 144 when n = 8.

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Given that m varies directly with n
That is m α n
m = kn  (1)
Where k is the constant of variation.
Now substitute the values for m = 144 and n = 8, we get
144 = k*8
Divide the above equation by 8, we get
144/8 =k
18 = k
The constant of proportionality is 18.