SOLUTION: The variable Z is directly proportional to X, and inversely proportional to Y. When X is 3 and Y is 6, Z has the value 9.5.
What is the value of Z when X = 8, and Y = 12
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Question 981073: The variable Z is directly proportional to X, and inversely proportional to Y. When X is 3 and Y is 6, Z has the value 9.5.
What is the value of Z when X = 8, and Y = 12
Found 2 solutions by ikleyn, stanbon:
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
The fact that "the variable Z is directly proportional to X, and inversely proportional to Y" (which is the given condition) means that
= ,
where = const (is a constant value). If you substitute , and into this formula, you will get
= = .
Hence, = = .
Thus our formula for is
= .
Now, if you substitute and into the last formula, you will get
= = = (approximately).
It is the answer to your question.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The variable Z is directly proportional to X,
and inversely proportional to Y.
---
Z = K*X/Y
-----------
When X is 3 and Y is 6, Z has the value 9.5.
Solve for "K"::
9.5 = K*3/6
K = 19
------
What is the value of Z when X = 8, and Y = 12
Equation:
Z = 19*X/Y
Z = 19*8/12
Z = (2/3)19 = 38/3 = 12 2/3
---------------
Cheers,
Stan H.
----------------
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