Question
M varies inversely with the square root of n and m=18 when n=144
Answers
GPT 3.5
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
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