To determine the actual distance between the two points, we need to multiply the distance on the map by the conversion factor provided in the scale. The conversion factor is the number of miles per centimeter on the map.
The scale tells us that 0.5 cm represents 6 miles, so the conversion factor is 6 / 0.5 = 12 miles/cm.
If the distance on the map is 9.5 cm, then the actual distance is:
(9.5 cm) * (12 miles/cm) = 114 miles
So the actual distance between the two points is 114 miles.