Compare two monthly phone calling plans to determine which plan is most advantageous based upon a customer’s monthly calling needs.
A. Introduce the problem by doing the following:
1. Describe the selected real world scenario.
2. Explain the needs of the hypothetical customer.
3. Discuss two cost options that are being considered.
B. Evaluate the cost of each option algebraically by doing the following:
1. Develop a linear algebraic equation with clearly defined variables to represent the cost of each option.
2. Explain the reasoning behind the way each equation is constructed.
3. Solve the system of linear equations algebraically using either the substitution method or the elimination method to determine where the two cost options are equivalent, showing all work.
Explain each step used to solve the system of linear equations. Include the following in your explanation: *The algebraic method used to solve the system of equations. *All mathematical operations used to solve the system of equations. *The solution of the system of equations.
C. Depict the situation graphically. Include: a depiction of each cost option on the same graph, clear labels of the cost to the hypothetical customer for both options on the graph, the intersection of the cost options (if one exists)
D. Discuss a decision-making process that is based on both mathematical reasoning and non-financial, or situational considerations. Your discussion should include the following: How financial information gleaned from your algebraic and graphical analyses can be used to determine the conditions for choosing cost option A over cost option B and vice versa. How non-financial, or situational considerations can impact the decision making process. 1. Discuss a final recommendation that states the option that most closely meets the consumers financial needs and non-financial considerations.