If each sandwich comes with 4 strips of pepper, and each pepper makes 8 slices, then each sandwich uses 4/8=<<4/8=0.5>>0.5 pepper.
If the Sandwich Shop serves a sandwich every 5 minutes, then per hour the Shop serves 60/5=<<60/5=12>>12 sandwiches.
Thus, per hour, the Shop uses 12*0.5=<<12*0.5=6>>6 jalapeno peppers.
And in an 8-hour day, the Sandwich Shop uses 8*6=<<8*6=48>>48 jalapeno peppers.
#### 48