Question

Evan earns $12 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week. Part A: Create an equation that shows the amount of money earned, M, 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 30 hours. (3 points) Part C: Evan earned $510 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)

Answer 1

1. M(x)=12x, with domain x < or =30, x a natural number {1,2,3,...30}

2. T(y)=12*30+15y
     
    T(y)=360+15y is the function which gives the wage after 30 hours of regular time and y of overtime.

3. T(y)=510
     360+15y=510
              15y=510-360=150
                   y=10 hours of overtime (and 30 of regular time.