Find a Mathematical Model Representing the Statement $\frac { 3 } { 2 }$

question 41

Multiple Choice

Find a mathematical model representing the statement.(Determine the constant of proportionality. ) ​
P varies directly as x and inversely as the square of y.(P = $\frac { 3 } { 2 }$ when x = 25 and y = 10. )
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• A) \(P = \frac { x y ^ { 2 } } { 6 }\)
• B) \(P = \frac { 6 x } { y }\)
• C) \(P = \frac { 6 x } { y ^ { 2 } }\)
• D) \(P = \frac { 6 y ^ { 2 } } { x }\)
• E) \(P = 6 x y ^ { 2 }\)

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Definitions:

Excess Demand

A situation where the quantity demanded of a good exceeds the quantity supplied at a particular price, leading to a shortage.

Supply Function

A mathematical function that illustrates the quantity of a good that producers are willing and able to sell at different price levels.

Demand Function

A mathematical expression showing the relationship between the quantity demanded of a good and its price, along with other determinants of demand like income.

Quantity Tax

A tax levied on the quantity of goods sold, not on the value of sales.