Question

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.

Part B: Create an equation that shows the number of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 30 hours.

Part C: Mary earned $580 in 1 week. How many hours (regular plus overtime) did she work? Show your work.

Full explanation pleaseeee!!

Answer 1

Part A: M=16x

Part B: T=16*30+20y

Part C: 35 hours

Explanation:

Part A: simplify hour rate times the hours she worked

Part B: it mentioned that y hours overtime, means she worked 30 hours plus y hours, so the wage is 30*16+y+20

Part C: If she works 30 hours, she will earn 480 per week.

So, she earned 580 means she worked overtime.

580-480=100 is the overtime wage. 100/20=5 is overtime hours.

The basic 30 hours plus overtime 5 hours is 35 hours