Math Project

In this exercise, we will compare two car companies offers to see which is the better deal depending on consumer needs.

Step 1: Write a linear equation of the form y ₁ =mx+b for Frod Motors. 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 ( click here to download ) to your desktop and use the 'draw' tools in Word to plot your lines. It would make sense to have your X values increase by 2, perhaps using the set [0,20].  Be sure to include a large enough set of y-values (something like [0,8000] would be suitable since leasing costs in the thousands of dollars. Increasing values by 500 would make sense. Graphsketch.com is resource which you may find helpful when constructing your graph. 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 Toyrolla Motors. 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 ( by setting the equations equal to each other and solving ). Show your work and also plot this point on the graph.

Step 4: Analyze which company offers a cheaper deal on a car lease and under what conditions.  At how many months is the cost to lease each vehicle the same?

Step 5: Suppose you plan to lease for 2 years. Which is your best option? What is the difference in price between the two companies for a 2 year lease.

As a preview for the final project (due in Week 14), your task will be to do steps 6 and 7 below (shaded in gray below). Please begin thinking about these now, but do not begin the final project until you have received feedback for Steps 1 through 5 and have also submitted the final project proposal.

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.

Please include all items (graphs, analysis, etc.) all in one document.

Price: $4.86

Solution: The downloadable solution consists of 3 pages, 186 words and 3 charts.
Deliverable: Word Document