Set up a system of linear equations for each question.  Write each system as an augmented matrix.  You do not have to solve the systems.       Company X plans to spend $500,000 on 20 new computers. Each model A computer will cost $2,000, each model B $2,500, and each model C $3,500.  Company X has decided that they need twice as many model A computers as Model B computers.  How many of each kind of computers can the company buy?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Set up a system of linear equations for each question.  Write each system as an augmented matrix.  You do not have to solve the systems.  

 

 

  • Company X plans to spend $500,000 on 20 new computers. Each model A computer will cost $2,000, each model B $2,500, and each model C $3,500.  Company X has decided that they need twice as many model A computers as Model B computers.  How many of each kind of computers can the company buy?

 

  • A baseball park has 7000 seats. Box seats cost $6, grandstand seats cost $4, and bleacher seats cost $2.  When all seats are sold, the revenue is $26,400.  If the number of box seats is one-third the number of bleacher seats, how many seats of each type are there?

 

  • The population of a state was approximately 24 million in 1980, 30 million in 1990, and 34 million in 2000. Construct a model for this data by finding a quadratic equation whose graph passes through the points (0,24), (10,30), and (20,34).

 

Hint:  You need to setup a system of linear equations with the intent of finding a quadratic equation that models the information given above.  You only need to setup the system; you do not need to find the quadratic equation that models the information.  You should have three equations.  Use the general form of the quadratic equation, y= ax2 + bx + c, to help you setup each equation.

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