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.
Do the following:

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

Given:
regular hourly rate = 10
regular hours worked per week = 40
overtime hourly rate = 15

A: no overtime: W = 10x ; 10(40) = 400

B: S = W + 15y ; S = 400 + 15y

C:  490 = 400 + 15y
490 = 400 + 15y
490 - 400 = 15y
90 = 15y
90/15 = 15y/15
6 = y

regular hours: 40 ; overtime hours = 6