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 companies’ 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 y_{1}=mx+b for the Horizon Cell Phone Company. Graph this equation on the xy-plane and label it as y_{1}. 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 y_{2}=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 y_{1 }and y_{2 }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 II: Final Project
Algebra gives us the means to write an equation or set of equations that model the solution to a problem. Once we have the equations, we have the means of solving all problems of a given type.
Please take a moment to review steps 1 through 5 in part I of the linear systems report. Think about the things you do, the problems you solve. Pick something that involves quantities and write an algebraic model for it.
Ideas to get you started:
Assignment:
For the final project please do all of the following steps:
Subject | Mathematics |
Due By (Pacific Time) | 02/16/2015 12:00 am |
Tutor | Rating |
---|---|
pallavi Chat Now! |
out of 1971 reviews More.. |
amosmm Chat Now! |
out of 766 reviews More.. |
PhyzKyd Chat Now! |
out of 1164 reviews More.. |
rajdeep77 Chat Now! |
out of 721 reviews More.. |
sctys Chat Now! |
out of 1600 reviews More.. |
sharadgreen Chat Now! |
out of 770 reviews More.. |
topnotcher Chat Now! |
out of 766 reviews More.. |
XXXIAO Chat Now! |
out of 680 reviews More.. |