Final answer:
Using the map scale of 1 inch to 50 miles, the actual distance between Mountain Home and Jonesville is found to be 20 miles when the map distance is 2/5 of an inch.
Step-by-step explanation:
The actual distance between Mountain Home and Jonesville is 20 miles. This is calculated by using the map scale provided and multiplying it by the map distance. To find the actual distance between Mountain Home and Jonesville, we need to use the map scale. The map scale is 1 inch: 50 miles, and the map distance is 2/5 inch. To find the actual distance, you use a proportion based on the map scale. Here, the scale is 1 inch corresponding to 50 miles. Since the map distance between the two locations is 2/5 of an inch, you multiply 50 miles (the distance one inch represents) by 2/5 to find the actual distance:
Actual distance = map distance (in inches) × scale factor (miles per inch)
Actual distance = (2/5) in × 50 miles/in
Actual distance = 20 miles