SOLUTION: The variable Z is directly proportional to X, and inversely proportional to Y. When X is 6 and Y is 6, Z has the value 12.
What is the value of Z when X = 13, and Y = 10
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-> SOLUTION: The variable Z is directly proportional to X, and inversely proportional to Y. When X is 6 and Y is 6, Z has the value 12.
What is the value of Z when X = 13, and Y = 10
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Question 981067: The variable Z is directly proportional to X, and inversely proportional to Y. When X is 6 and Y is 6, Z has the value 12.
What is the value of Z when X = 13, and Y = 10
You can put this solution on YOUR website! Z = k * X / Y where k is the constant of proportionality
when Z = 12, X = 6, Y = 6 we have
12 = k * 6 / 6
k = 12
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Z = 12 * 13 / 10
Z = 156 / 10
Z = 15.6
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 (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
