Posted: September 16th, 2021
Analyze the cost of each option algebraically
Assessment Brief
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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.
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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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