# Analyze the cost of each option algebraically

**Question description**

This is now my third attempt in finding someone competent to get this done. Please only bid if you know how to do this ... Thank you !

A family is looking for the best option for moving the family’s belongings into a new home.

Moving company A charges its customers a flat rate per mile. Moving company B charges its

customers a fixed amount for a certain number of miles and then a fixed rate per mile for

any miles over the set amount. Determine which company would best serve the needs of

the family.

**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.

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

*Note: Save word-processing
documents as *.pdf (Portable Document Format) files and all spreadsheets as
*.xls, *.xlsx, or *.ods files.*

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