SOLUTION: Express the statement as a formula. Use the given information to find the constant of proportionality. M is jointly proportional to a, b, and c, and inversely proportional to d

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Question 182572: Express the statement as a formula. Use the given information to find the constant of proportionality.
M is jointly proportional to a, b, and c, and inversely proportional to d. If a and d have the same value, and if b and c are both 2, then M = 144.
k =___________

Answer by stanbon(75887) About Me  (Show Source):
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Express the statement as a formula. Use the given information to find the constant of proportionality.
M is jointly proportional to a, b, and c, and inversely proportional to d. If a and d have the same value, and if b and c are both 2, then M = 144.
k =___________
=============================================
M = k[abc/d]
144 = k[a*2*2/d]
Since a = d they cancel.
So 144 = 4k
k = 38
====================
Cheers,
Stan H.