Final answer:
The mathematics question for Middle School involves using a scale factor on a map to determine actual distances between cities. By applying the given scale to the map measurements, distances are calculated by simple proportions.
Step-by-step explanation:
The subject of this question is Mathematics, and it appears to be suited for the Middle School level, dealing specifically with the concept of scale factors and distances on a map. To determine the actual distance between two points from a map measurement, one has to use the given scale.
For instance, if the scale on the map is 1/4 inch equals 43 miles, and the straight-line distance between Los Angeles and San Francisco is measured at 2 inches, the actual distance calculation would be as follows: 2 inches × (43 miles / 1/4 inch) = 2 × 172 miles = 344 miles.
Using the information provided in the question, if a scale determines that 1-inch equals 5.5 miles, then distances can be calculated by setting up simple proportions. For example, to map 16.5 miles using this scale, a proportion could be used: 1 inch / 5.5 miles = x inches / 16.5 miles, which simplifies to x = 3 inches on the map.