Instruction
DO NOT ACCEPT IF YOU ARE NOT GOOD AT MATH - linear functions Final project proposal using on linear functions The final projects focus will be on linear functions. For the final project your proposal must 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 found on the internet. You could change one or more parameters and assess how the model changes. Its up to you! The Cell Phone example below is just a reference point so you can get an idea of whats expected. Comparing Costs of Cell Phone Plans This is an example of what might be done for a final project. Don’t use this example, especially because it’s quite dated. Cell phone companies are always claiming to offer a better deal over their competitors. In this exercise, we will compare two cell phone companies offers to see which is the better deal. 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 it. Be sure to include a large enough set of x-values (something like [0,800] 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.