SOLUTION: y varies jointly as a and b, and inversely as the square of c. y=64 when a=14, b=8, and c=4. Find y when a=7, b=4, and c=8. would the answer be: y=(32/2.8)

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Question 885053: y varies jointly as a and b, and inversely as the square of c. y=64 when a=14, b=8, and c=4. Find y when a=7, b=4, and c=8.

would the answer be:
y=(32/2.8)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Transcribing to symbols,


Solving for k,
and the given values in the first part mean .

Your equation then is .
Now use the values given in the second part to find y.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

y varies jointly as a and b, and inversely as the square of c. y=64 when a=14, b=8, and c=4. Find y when a=7, b=4, and c=8.






 ------ Substituting 64 for y, 14 for a, 8 for b, and 4 for c, to determine k 

 

112k = 64(16) ------ Cross-multiplying

, or _____





 ------ Substituting 7 for a, 4 for b, and 8 for c

_____ 



You can do the check!! 



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