A local store owner pays her employees time-and-a-half for overtime. That means for every hour an employee works more than 40 hours per week, the store will pay 1.5 times the regular hourly wage of 14.50.

part l: write a function P(x), that defines the weekly pay for employees who work up to but not more than 40 hours in a week.

Part ll: Suppose an employee works overtime (more than 40 hours per week). What is the hourly wage for the overtime hours?

Part lll: follow these steps to write a function, P(x), that defines the total weekly pay for employees who work more than 40 hours a week.

a) how much does an employee make working the first 40 hours at $14.50 an hour?

b if an employee works x> 40 hours per week, write an expression for the over time pay. Hint: the employee works (x-40) overtime hours. overtime pay= (overtime hourly wage) times (number of overtime hours)

c. Use your answer from parts (a) and (b) to write the function P(x), that defines the total weekly pay for employees who work more than 40 hours a week.

Part lV: Use the functions from part l and part lll to write the piecewise function for how much an employee will be paid if he or she were to work less than or equal to 40 hours, or more than 40 hours.

Part V: use the function from part lll to determine how much an employee will be paid if he or she were to work 50 hours in a week.