#### Answer

The student earns 588 dollars.

#### Work Step by Step

A student is paid 12 dollars an hour for working at a job. A standard workweek of 40 hours applies and any hours worked over 40 will be paid at time and a half (overtime pay). In this case, overtime pay is 18 dollars an hour. 1$\frac{1}{2}$ may be writting as 1.5 or as $\frac{3}{2}$ for calculating. The regular pay rate times the overtime multiplier is $\frac{12}{1}$ x $\frac{3}{2}$ = $\frac{36}{2}$ = 18 (the overtime pay rate).
In this case, the student works 46 hours. This is his/her regular 40 hour workweek plus 6 hours of overtime.
The student is paid 12 dollars per hour for the first 40 hours:
12 x 40 = 480 (this is in dollars)
The student is also paid for the 6 hours of overtime (46 - 40 = 6) at a rate of 18 dollars per hour:
18 x 6 = 108 (This is in dollars)
So, the student's total pay for the week is 480 + 108 = 588.
588 dollars.