M varies inversely with the square root of n and m=18 when n=144

Answer 1

To solve this problem, let's first write down the formula for inverse variation:

M = k/n^0.5

where k is the constant of variation.

We can now plug in the values given:

18 = k/144^0.5

Simplifying the equation:

18 = k/12

Multiplying both sides by 12:

k = 216

Now we have the constant of variation, k. We can use this to find M when a different value of n is given.

M = 216/n^0.5