##### Math Problem

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*account_balance_wallet*$5

A. Develop a story problem using the real-world scenario you have selected from

Here is my story problem.

**A parent is looking for the best option for daycare for a
child. A home-based daycare: Sally’s. They charges $3 per hour. A center based:
Head Start charges a set amount a week of $100 at 40 hours and $10 an hour for
any time over the set amount of time. A parent works a total of 48 hours a
week. Is Sally’s a better option or Head Start a better option for the parent?
The parent is single and rasing her child on her own, so budgeting is key in
their life.**

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

1.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 inyour 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 includethe 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 canbe used to determine the conditions for choosing cost option A over cost option Band 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.

**I am having extream difficulty with this, expecially graphing it. Please help**

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