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:

Opportunities

Chances or circumstances that allow for growth, development, or success in various areas such as business, personal life, or education.

Marginally Optimal

Describes an economic decision where the marginal benefit from the last unit of good or service consumed or produced is equal to its marginal cost.

Equilibrium

A state in a market where demand equals supply, and the market clears at a certain price and quantity, leading to no incentive for change.

Market Fluctuation

Variations in market prices and volumes over time, influenced by various factors such as economic indicators, investor sentiment, and world events.