Construct a piecewise function modeling the weekly paycheck

Question

Your job pays time and a half for overtime (hours worked over 40 hours per week). Your hourly rate is $11.50 per hour.

1. Construct a piecewise function modeling the weekly paycheck.
2. Construct a graph of this function. What are the implied domain and range?
3. How much will you get paid if you work 50 hours?
4. You want to make $750 per week. How many hours should you request?
5. You still want to make $750 per week, but 50 weekly hours is the absolute max that you can work. What pay raise should you ask for in order to achieve your goal?

Requirements:

• Your paper should be 2-3 pages in length and cite and integrate at least one credible outside source.
• Include a title page, an introduction, a body, a conclusion, and a Reference list.
• The introduction should summarize the problem and state what approach and method will be applied to solve it.
• The body of your paper should answer the questions posed in the problem, explain how you approached and answered the question or solved the problem, and for each question, show all steps involved.
• The conclusion should summarize your findings and what you have determined from the data and your analysis, with a broader or personal perspective in mind when applicable.