Find a Mathematical Model Representing the Statement $z = \frac { 3 x ^ { 2 } } { 4 y }$

question 27

Multiple Choice

Find a mathematical model representing the statement.(Determine the constant of proportionality. ) ​
Z varies directly as the square of x and inversely as y.(z = 36 when x = 9 and y = 3. )
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• A) \(z = \frac { 3 x ^ { 2 } } { 4 y }\)
• B) \[z = \frac { 4 x } { 3 y }\]
• C) \[z = \frac { 4 x ^ { 2 } } { 3 y }\]
• D) \(z = - \frac { 3 x ^ { 2 } } { 4 y }\)
• E) \(z = - \frac { 4 x ^ { 2 } } { 3 y }\)

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