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

question 15

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.)

• 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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Definitions:

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The ability of a person who has witnessed an event to remember details about that event.

Malleable

Capable of being shaped or adjusted; easily influenced or adaptable.

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Error-prone describes a situation or system that is likely to make mistakes or contain errors.