For the first week of February, Susan Martinez worked 53 hours. Susan earns $\$ 18.50$ an hour. Her employer pays overtime for all hours worked In excess of 40 hours per week and pays 1.5 times the hourly rate for overtime hours.
Calculate the following for the first week of February (round your responses to the nearest cent if necessary):
Answer
Final Answer: Susan Martinez earned \(\boxed{\$1100.75}\) for the first week of February.
Step 1 ：Define the variables: total hours worked (\(total\_hours = 53\)), normal hourly rate (\(normal\_rate = \$18.50\)), overtime rate (\(overtime\_rate = normal\_rate \times 1.5 = \$27.75\)), and normal hours per week (\(normal\_hours = 40\)).
Step 2 ：Calculate the pay for the first 40 hours: \(normal\_pay = normal\_hours \times normal\_rate = 40 \times \$18.50 = \$740.00\).
Step 3 ：Calculate the pay for the overtime hours: first, find the number of overtime hours (\(overtime\_hours = total\_hours - normal\_hours = 53 - 40 = 13\)), then calculate the overtime pay (\(overtime\_pay = overtime\_hours \times overtime\_rate = 13 \times \$27.75 = \$360.75\)).
Step 4 ：Calculate the total pay: \(total\_pay = normal\_pay + overtime\_pay = \$740.00 + \$360.75 = \$1100.75\).
Step 5 ：Final Answer: Susan Martinez earned \(\boxed{\$1100.75}\) for the first week of February.
