Question: Which if the Virginia routes designated in the 80 's is in a county with a population of 46,689 ?

text: List of Virginia Byways
List of Virginia Byways

A Virginia Byway is a scenic road designated by the Commonwealth of Virginia as one that can introduce tourists to alternate destinations. According to the Virginia Department of Transportation (VDOT), there are over 3,000 miles (4,800 km) of scenic roads in Virginia, many of which have been designated as Virginia Byways. The sign design, which features a cardinal, Virginia's state bird, was adopted in January 1975.
County Route Endpoints Designated Notes
Fairfax SR 193 ( Georgetown Pike ) SR 7 ( Leesburg Pike ) at Dranesville to SR 123 ( Dolley Madison Boulevard ) at Langley June 20 , 1974 Very winding , highly used commuter route
Charles City / Henrico / James City SR 5 ( New Market Road / John Tyler Highway ) Richmond to Williamsburg August 21 , 1975 part of U.S. Bike Route 76 east of SR 156
Albemarle SR 20 ( Scottsville Road ) I-64 south of Charlottesville to James River in Scottsville August 19 , 1976 part of the Journey Through Hallowed Ground National Scenic Byway ( designated October 16 , 2009 ) north of SR 53
Albemarle / Nelson SR 6 / SR 151 ( Irish Road / River Road / Rockfish Valley Highway / Critzers Shop Road ) SR 20 in Scottsville to US 250 near Critzers Shop August 19 , 1976
Nelson SR 56 ( Crabtree Falls Highway ) Blue Ridge Parkway at Tye River Gap to SR 151 near Roseland August 19 , 1976
Nelson SR 151 ( Patrick Henry Highway / Rockfish Valley Highway ) SR 56 near Roseland to SR 6 at Martins Store August 19 , 1976
Rockbridge SR 39 ( Maury River Road ) US 11 near East Lexington to SR 42 in Goshen January 20 , 1977
Clarke / Frederick SR 723 ( Millwood Road / Carpers Valley Road ) US 17 / US 50 near Berrys to US 17 / US 50 southeast of Winchester July 14 , 1977 former alignment of US 50
Bath / Rockbridge SR 39 ( Mountain Valley Road ) SR 42 in Goshen to West Virginia state line at Ryder Gap October 27 , 1977
Tazewell SR 623 ( Burkes Garden Road ) SR 61 at Gratton to SR 667 in Burkes Garden June 22 , 1979
Albemarle / Nelson US 250 ( Ivy Road / Rockfish Gap Turnpike ) US 29 near Charlottesville to Blue Ridge Parkway / Skyline Drive at Rockfish Gap December 17 , 1981
Culpeper / Fauquier SR 802 ( Springs Road ) SR 229 near Jeffersonton to US 17 Bus . / US 29 Bus . in Warrenton September 15 , 1983
Fauquier / Loudoun SR 245 ( Old Tavern Road ) / SR 626 ( Halfway Road ) US 17 at Old Tavern to Middleburg September 15 , 1983 former alignment of US 15
Montgomery / Roanoke SR 785 ( Catawba Road / Blacksburg Road ) SR 723 at Lusters Gate to SR 311 near Catawba May 15 , 1986 part of U.S. Bike Route 76 ; former SR 114
Fluvanna / Goochland / Henrico SR 6 / SR 650 ( River Road ) Scottsville to SR 150 near Tuckahoe January 15 , 1987
Amherst / Rockbridge SR 130 ( Elon Road / Wert Faulkner Highway ) US 29 Bus . near Madison Heights to US 11 at Natural Bridge January 15 , 1987
Albemarle SR 601 / SR 676 / SR 614 ( Garth Road ) US 29 / US 250 near Charlottesville to SR 810 at White Hall July 16 , 1987 part of U.S. Bike Route 76
Albemarle / Orange SR 20 ( Stony Point Road / Constitution Highway ) US 250 east of Charlottesville to US 15 in Orange November 19 , 1987 part of the Journey Through Hallowed Ground National Scenic Byway ( designated October 16 , 2009 )
Albemarle / Louisa / Orange SR 22 ( Louisa Road ) / SR 231 ( Gordonsville Road ) US 250 at Shadwell to US 15 / US 33 in Gordonsville November 19 , 1987 part of the Journey Through Hallowed Ground National Scenic Byway ( designated October 16 , 2009 )
Loudoun US 15 / US 15 Bus . ( James Monroe Highway / King Street ) US 50 at Gilberts Corner to Potomac River at Point of Rocks , MD May 19 , 1988 part of the Journey Through Hallowed Ground National Scenic Byway ( designated October 16 , 2009 )