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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 = when x = 25 and y = 10.)

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 = when x = 25 and y = 10.)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.CM: Cumulative Review Exercises
Problem 40CM
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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 Op-0² 6x Op=515 P = 6xy² 6x Op=fir y Op=6y²2 P X when x = 25 and y = 10.)
Transcribed Image Text: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 Op-0² 6x Op=515 P = 6xy² 6x Op=fir y Op=6y²2 P X when x = 25 and y = 10.)
Property tax is based on the assessed value of a property. A house that has an assessed value of $200,000 has a property tax of $4,820. Find a mathematical model that gives the amount of property tax y in terms of the assessed value x of the property. Use the model to find the property tax on a house that has an assessed value of $230,000. (Round your answer to four decimal places.) y = 0.0241x; $230,000 Oy=41.4938x; $9,543,568 Oy=0.0241x; $9,543,568 O y = 0.0241x; $5543 Oy=41.4938x; $5543
Transcribed Image Text:Property tax is based on the assessed value of a property. A house that has an assessed value of $200,000 has a property tax of $4,820. Find a mathematical model that gives the amount of property tax y in terms of the assessed value x of the property. Use the model to find the property tax on a house that has an assessed value of $230,000. (Round your answer to four decimal places.) y = 0.0241x; $230,000 Oy=41.4938x; $9,543,568 Oy=0.0241x; $9,543,568 O y = 0.0241x; $5543 Oy=41.4938x; $5543
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