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A downtown employee is looking for the best option for parking a car during a 5 day work week. One parking garage offers unlimited parking at a flat rate per month.

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 A downtown employee is looking for the best option for parking a car during a 5 day work week. One parking garage offers unlimited parking at a flat rate per month. Another garage offers an hourly rate for parking. Which option is best for the employee on a monthly basis?

TASK:

 

Note: Part A, B, and D of this task should be completed in a word-processing program; hand-written artifacts are not acceptable for this task. Part C should be completed in approved graphing software; hand-drawn graphs and graphs crafted as art within a computer program are not acceptable for this task

 

A. Develop a story problem using the real-world scenario you have selected from the four provided above by doing the following:

 

1. Develop a cost comparison problem that can be solved according to the task instructions that follow by supplementing your chosen scenario with additional information.

 

2. Explain all needs (e.g., financial, non-financial, situational) of the hypothetical consumer.

 

3. Discuss two cost options that are being considered.

B. Analyze the cost of each option algebraically by doing the following:

1. Develop an algebraic equation(s) with clearly defined variables to represent the cost of

 

 

each option.

 

 

Note: In some circumstances, a single cost option may require two equations

 

2. Explain the reasoning process used to translate the written description of

 

each cost option into algebraic equations.

3. Solve the system of equations algebraically to determine where the

 

 

two cost options are equivalent, showing all work.

a. Explain each step used to solve the system of equations. Include the following in your explanation:

• All mathematical operations used to solve the system of equations

 

• The solution(s) of the system of equations in ordered-pair notation

 

C. Depict the real-world problem on a single graph, within a spreadsheet application using integrated graphing tools (e.g., Microsoft Excel, OpenOffice Calc, LibreOffice Calc).

 

Include the following details in your graphical representation of the real-world problem:

 

• Label each axis of the coordinate plane with descriptive labels.

• Label all graphical solution(s) of the system of equations as “solution” and include the ordered pair.

 

• In a legend, indicate which cost option corresponds with each line.

 

• Save and submit your spreadsheet as an

 

 

*.xls, *.xlsx, or *.ods

file.

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 consumer’s financial needs and non-financial considerations.