Given, the hourly wage for Joe = $8.10 per hour.
Over 40 hours, Joe is paid $ 12.15 per hour.
Last week, Joe worked for 45 hours.
So for 40 hours he was paid =$
= $324.
The remaining hours =
= 5 hours.
Joe was paid for 5 hours over 40 hours = $
= $60.75
The total amount that was paid = $
= $

So we have got the required answer.
Total amount paid to Joe last week is $384.75.