A licensed driver who is 17 years of age may not operate a motor vehicle between __________, unless accompanied by a driver who is 21 years of age or older.

The proper time restriction for a 17-year-old licensed driver operating a motor vehicle is indeed between 1:00 a.m. and 5:00 a.m., unless accompanied by a licensed driver who is 21 years of age or older. This rule is put in place as a safety measure to ensure that younger and potentially less experienced drivers are not on the road late at night when the risk of accidents is statistically higher.

The time frame restricts late-night driving to help reduce exposure to hazardous situations and encourages the presence of a more experienced driver to guide and assist, reinforcing the notion that inexperienced drivers can benefit from supervision during the more dangerous hours of the night. This is a critical rule in Florida's graduated licensing system aimed at promoting road safety for younger drivers.

Other options provide different time ranges that do not align with the specific regulations in place, highlighting the importance of adherence to stated laws for the safety of all road users.