Mary earns $16 an hour plus $20 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week. Part A: Create an equation that shows the amount of money earned, M, for working x hours in a week when there is no overtime. (3 points) Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 30 hours. (3 points) Part C: Mary earned $580 in 1 week. How many hours (regular plus overtime) did she work? Show your work. (4 points)

Respuesta :

A. When there is no overtime, the amount of money earned is just based on the hourly rate of $16. 
                                 M = 16x

B. With the overtime pay,
                             T = (16)(30) + 20y = 480 + 20y

C. Use the equation in B and substitute 580 in T
                                580 = 480 + 20y   ; y = 5 hours