Find the constant of Variation K

m varies directly with n;m=144
when m=8

n=km

144=k8
divide both sides by 8

m=kn

144=k8
divide both sides by 8
144÷8
k=18

To find the constant of variation (K) in a direct variation equation, you can use the formula:

m = Kn

Given that m varies directly with n, and when m = 144, n is not provided, it is not possible to find the exact value of K.

However, we can find the value of K using the second set of information provided:

When m = 8, we can substitute these values into the equation:

8 = Kn

Now, divide both sides of the equation by n:

8/n = Kn/n

This simplifies to:

8/n = K

Since n is not provided, we cannot find the exact value of K. But if you are given the value of n, you can substitute it into the equation to find the value of K.