Part I Please complete this open ended assessment. Cell phone companies are always claiming to offer a better deal over their competitors. In this exercise, we will compare two cell phone companiesâ€™ offers to see which the better deal is. Horizon Cell Phone Company Vertigo Cell Phone Company Base rate=$40 Plus each minute costs $0.05 Base rate=$30 Plus each minute costs $0.07 Step 1: Write a linear equation of the form y1=mx+b for the Horizon Cell Phone Company. Graph this equation on the xy-plane and label it as y1. You may use Excel to graph or you can save the graph paper to your desktop and use the 'draw' tools in Word to plot your lines. Be sure to include a large enough set of x-values (something like [0,700] would be suitable. Graphing values only from [0,10] would not yield very much information, since most cell phone users talk for more than 10 minutes each month. Also, be sure to include a title on the graph and labels on the x- and y-axes. Step 2: Write a linear equation of the form y2=mx+b for the Vertigo Cell Phone Company. Graph this equation on the same graph. You will now have two lines on the same graph. These should intersect. Step 3: Find the point of intersection for y1 and y2 algebraically. Show your work and also plot this point on the graph. Step 4: Analyze which company offers a cheaper deal on cell phone costs and under what conditions. At what value are they the same? Step 5: Suppose you talk an average of 200 minutes per month. Which is your best option? What is the difference in price between the two companies' charges for 200 minutes? As a preview for the final project, your task will be to do steps 6 and 7 below. Part I plays into Part II. Step 6: Describe another setting in which a systems of equations approach would be useful. Step 7: Present data and repeat steps 1-5, for an application of your choice. Some ideas may be found by considering examples related to business (supply-demand), nutrition (caloric need vs caloric expenditure), home budget (monthly earnings vs. monthly spending), and/or topics in your professions, other academic courses or those found on the internet. Be sure to cite any sources, if you use outside references for ideas or data. PART 2 It's time to begin thinking about the final project and forming the framework which will guide your work. The final project should follow a similar format as the cell phone linear systems report that you did in Module 5. Please take a moment to review steps 1 through 5 of the Module 5 Linear Systems report. Steps 6 and 7 of the Module 5 Linear Systems report form the basis of the Final Project. You will be completing Step 6 here. Step 6: Describe another setting in which a systems of equations approach would be useful. Some ideas may be found by considering examples related to business (income and expense), nutrition (weight loss or gain of two different individuals), home budget (buying a hybrid versus a standard vehicle), and/or topics in your professions, other academic courses or real life decision making. Step 7: (Completed in Module 8 - Final Project) Present data and repeat steps 1-5 (see Module 5), for the application approved in your proposal above. Be sure to cite any sources, if you use outside references for ideas or data. Please also take a moment to review the final project guidelines in Module 8 and then present your final project proposal here as a Word (.doc) or Rich Text format (.rtf) document. Taking the time to lay out your ideas for the final project will help ensure that the project you've chosen is appropriate and will also help you create a well organized, well executed project in the final weeks of our course. Be sure to also take a look at the final project rubric also found in Module 8. For the final project proposal include: Statement of the problem you intend to solve. Here you would explain the problem, why its important and what you hope to learn/analyze. Data or equation you intend to analyze. Here you should present data that you will gather or data the you have found on a particular website. Alternatively, you may wish to explore equations presented in our textbook or found on the internet. You could change one or more parameters and assess how the model changes. Techniques and/or skills you will use. Please note, as a final project, you should demonstrate your proficiency in skills from at least two different modules.

Subject | Mathematics |

Due By (Pacific Time) | 08/02/2015 12:00 am |

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