Question

Lana makes $8 an hour plus $12 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week. Part A: Create an equation that shows the amount of wages earned, W, 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, S, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 40 hours. (3 points) Part C: Lana earned $368 in 1 week. How many hours (regular plus overtime) did she work? (4 points)

Answer 1

44 hours because...

Part A: W=8x where x equals amount of hours, and W equals wages. 
Part B: S=8x+12(y) where y equals overtime hours and S equals wages 
Part C: 368=8(40)+12(y) 
-320=12(y) 
48=12y 
48/12=y 
4=y 
x=40, y=4. 
X+Y=44 hours