Question

Dominic earns $18 an hour plus $25 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: Dominic earned $730 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)

Answer 1

Part A: (no overtime) E = 18x. 
x cannot exceed 35, therefore E cannot exceed $630.

Part B: T = 25y + 18x when x = 35 hours. 

T = 25y + 630.

Part C: T = $730. 730 = 630 + 25y.

Subtract 630 from both sides. 100 = 25y.

Divide both sides by 25. y = 4.

$35 + 4 = 39$