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The Smith family is looking...

The Smith family is looking to move into their new home and need to find the best option in pricing for a rental truck between We Gotta Truck, Inc (Company A) and Pack It Up, LLC (Company B). Company A Charges $.80 Per Mile No Matter the distance traveled whereas Company B charges $.50 per mile for the first 200 miles and then $1.05 Per mile afterwards.

The Smith family will need to travel 330 miles which company offers the best deal. There are no other extraordinary circumstances surrounding this move.

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.

E. When you use sources, include all in-text citations and references in APA format.

The Smith family will need to travel 330 miles which company offers the best deal. There are no other extraordinary circumstances surrounding this move.

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.

E. When you use sources, include all in-text citations and references in APA format.

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