Option #2 : Piecewise Functions: Paycheck with Overtime

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:

• Write a 2-3 explanation of your findings.