you need to use the given scale to convert the distance measured on the map to the actual distance.
The scale on the map is given as 0.5 cm = 6 mi, which means that 1 cm on the map represents 6 miles in reality. This can also be written as 1:6, where the numbers before and after the colon represent the proportion of the map distance to the actual distance.
Since the map measures 9.5 cm between the two points, this is 9.5 times the map distance represented by 1 cm. So the actual distance is 9.5 times the actual distance represented by 1 cm on the map, or 9.5 * 6 = <<9.5*6=57>>57 miles.
Therefore, the actual distance between the two points is 57 miles.