Question

Drey makes $10 an hour plus $15 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.

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.

Part C: Drey earned $490 in 1 week. How many hours (regular plus overtime) did he work?

Answer 1

Drey makes $10 an hour plus $15 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. 

If there is no overtime, the equation is W = 10x.

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. 

At $10 per hour for 40 hours, the total is $400.

S = 15y + 400

Part C: Drey earned $490 in 1 week. How many hours (regular plus overtime) did he work?

490 = 15y + 400

490 - 400 = 15y

90 = 15y

90/15 = y

6 = y

Drey worked 46 hours in all.