SOLUTION: B varies directly as m and inversely n. B=27 when m=72 and n=8, find B when m=9 and n=4 (Variations?)

Question 999495: B varies directly as m and inversely n. B=27 when m=72 and n=8, find B when m=9 and n=4
(Variations?)
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
B varies directly as m and inversely n. B=27 when m=72 and n=8, find B when m=9 and n=4
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b = k*m/n
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Solve for "k"::
27 = k*72/8
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27 = k*9
k = 3
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Equation:
B = 3*m/n
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B = 3*9/4
---
b = 27/4 = 6 3/4
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Cheers,
Stan H.
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Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

If varies directly as and inversely as , then

.

Substitute the given initial values of the three variables, then solve for .

Once you have a value for , you can substitute it into the original equation, giving you a formula to solve for any one of the variables given the other two.

John

My calculator said it, I believe it, that settles it

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