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Modeling Systems and Smith Client 



Students create equations and graphs based upon information about the state fair.

 

 
 
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Published:  September 14, 2009
 
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Slide 1: Opening Assignment  Create a situation from the following equation:  E > 10t-300
Slide 2: Process to Solve a Client Problem 1. 2. 3. 4. 5. 6. Map what you know/need to know From map and client problem, write a focus statement Complete project action plan Research/Learn what you need to know As you research/learn, revise map/statement until a solution is discovered Present the solution
Slide 3: Modeling a Situation  To create a graph of a situation, you must create an equation. Here are the steps to creating an equation:    Determine what is the independent (x-value) and what is the dependent value (y-value) Determine what operations you must complete with the independent value Make the operations and x-value equal, less than or greater than the dependent value depending on the situation
Slide 4: Smith Project  In teams, select what you think are the three best options for the client in regards to admission, rides and food  For food, use the price per item as $4, $6 and $8   Create equations for each option in each category Graph the equations associated with admission, rides and food
Slide 5: Smith Project   Before you write the equations, decide the maximum amount of money spent in each category This will help define maximum value of the dependent amount (y-axis)
Slide 6: Homework   Complete client graphs, if applicable Graph the following equations:   3x + 2y = 16 & 2x – y = 6 y = 7 + x & 3x + 2y = 4
Slide 7: Which of the following is the solution to the system of equations? A. B. C. D. (3, 5) (5, 3) (-5, 2) (2, 2) 2x + y – 13 = 0 x–y–2=0

   
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