+10 merin earns 1.5 times her normal hourly rate for each hour she works after 40 hours in a week. she worked 48 hours this week and earned $650. what is her normal rate.
+23247 If Merin worked for 48 hours, 40 of those hours are paid as regular hours and 8 are paid as overtime hours.
Call her regular rate 'x'.
Then, since she makes 1.5 times her regular rate for all overtime hours, her overtime rate is '1.5x'.
The amount of money earned is found by multiplying the number of hours times the rate.
---> Regular amount = 40·x ---> Overtime amount = 8·1.5x
Total amount made for the week is found by adding the regular amount to the overtime amount:
(40·x) + (8·1.5x) = 650.00
---> 40x + 12x = 650.00
---> 52x = 650.00
---> x = $12.50 <--- her regular rate
