Question

Marco earns $16 an hour plus $21 an hour for every hour of overtime. Overtime hours are any hours more than 35 hours for the week. Part A: Create an equation that shows the amount of money earned, E, 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 35 hours. (3 points) Part C: Marco earned $602 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)

Answer 1

Given:16 per hour - regular hours21 per hour - overtime hours35 hours - total number of regular hours
Part A: Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime. 
E = 16xwhere x ≤ 35
Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. 
T = 21(y-35)
Part C: Marco earned $602 in 1 week. How many hours (regular plus overtime) did he work? 
E + T = 602
16x + 21(y-35) = 60216(35) + 21y - 735 = 602560 + 21y - 735 = 60221y = 602 - 560 + 73521y = 777y = 777/21y = 37
Regular hours = 35 hours ; Overtime = 2 hours
To check
16(35) + 21(2) = 602560 + 42 = 602602 = 602