To calculate the gross pay, we need to find the number of overtime hours first:
Overtime hours = 44.5 - 40 = 4.5
Base pay for 40 hours = $18.48 x 40 = $739.20
Overtime pay = $18.48 x 1.5 x 4.5 = $83.64
Total gross pay = Base pay + Overtim pay = $739.20 + $83.64 = $822.84
So, the shop tech's gross pay is $822.84