. (02.02 HC) 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) (10 points)
Part A) Let E-----------> the amount of money earned x----------> hours working in a week-----> $18 an hour we know that E=18x ---------> equation that shows the amount of money earned for working x hours in a week conditioned to x<= 35 hours--------> is no overtime
Part B) Let T----------------> the amount of money earned y -------------- > hours of overtime-------> $25 an hour for x=35 hour----------> E=18*35=$630 T=630+25y------> equation that shows the amount of wages earned for working y hours of overtime and 35 hour in a week Part C) if Dominic earned $730 in 1 week $630------------> earned for working 35 hours in a regular week [hours of overtime]=(730-630)/25=100/25=4 hours
[total hours worked]=35+4=39 hours
the answer is 39 hours (35 hours regular +4 hours overtime)
