Horizon Cell Phone Company

Base rate=$40

Each additional minute costs $0.05

Vertigo Cell Phone Company

Base rate=$30

Each additional 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 (click here to download) 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 [0,300] or [0,500] 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.

Subject | Medicine |

Due By (Pacific Time) | 05/24/2015 |

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