Final answer:
Mike earns a total of $945.50 in a 54 hour week, by earning his normal wage for the first 40 hours and time and a half for the 14 overtime hours.
Step-by-step explanation:
To calculate the amount Mike earns in a 54 hour week, we need to separate his normal hours from his overtime hours. Mike earns a regular wage of $15.50 per hour for the first 40 hours, and then earns time and a half for the additional hours over 40.
First, let's calculate his earnings for the regular 40 hours:
Normal Earnings = 40 hours × $15.50/hour
= $620
Next, we calculate the overtime earnings. Mike works 54 hours, so he has 54 - 40 = 14 overtime hours.
Overtime Earnings = 14 hours × ($15.50/hour × 1.5)
= 14 hours × $23.25/hour
= $325.50
Now, we add both to find the total:
Total Earnings = Normal Earnings + Overtime Earnings
= $620 + $325.50
= $945.50
So, Mike will earn $945.50 in a 54 hour week.