Lana makes $8 an hour plus $12 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: Lana earned $368 in 1 week. How many hours (regular plus overtime) did she work?
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x= regular hours worked
Rate in dollars per hour times x, which is in dollars gives us dollars made:
Wages earned = W = 8x
If she had worked overtime, then W = 40*8 + 12y, where y is the number of overtime hours. If she made $500 dollars in a week, then the amount of overtime (if any) can be found from 500 = 40*8+12*y. If y turns out to be negative or zero, then use 500=40x to determine the number of hours worked since the number of overtime hours is zero. In either case, total number of hours worked is x+y.