Final answer:
To cover the same area as one 15-minute map, four 7.5-minute maps are needed because each 7.5-minute map covers one-quarter of the area that a 15-minute map does.
Step-by-step explanation:
The question is asking about the comparison between different map scales and how many of one type is needed to represent the same area as another.
When considering a 7.5-minute map and a 15-minute map, it's important to note that the term 'minute' here refers to a unit of angular measurement used in cartography, and it reflects the level of detail or scale of the map.
A 15-minute map has a larger scale and covers a wider area than a 7.5-minute map. Therefore, to represent the same area as one 15-minute map, you would need four 7.5-minute maps.
This is because each 7.5-minute map covers one-quarter of the area that a 15-minute map does, so when you divide the 15-minute area into four equal parts, each part is a 7.5-minute map's worth of area.
To find the number of 7.5-minute maps required to represent the same area as a 15-minute map, we need to understand the ratio between the two scales.
A 7.5-minute map covers half the area of a 15-minute map. Therefore, you would need double the number of 7.5-minute maps to cover the same area.
For example, if you need 4 15-minute maps to represent an area, you would need 8 7.5-minute maps for the same area.