QUESTION IMAGE
Question
comparing maps and scales
not all maps have the same scale. the maps on this page show
the same place, but they have different scales.
use the map to answer these questions.
- what does one inch stand for on the map a scale?
- how many miles does one inch stand for on map b?
- how long is hall road on map a?
how long is it on map b?
- which map shows a smaller area?
which map shows a larger area?
which map would be more useful for getting from the state highway to
jeb’s house?
Question 1
We look at the scale of Map A, which is labeled as "1 inch = 1 mile". So we can directly get the meaning of one inch on Map A's scale from this label.
We refer to the scale of Map B, which is marked as "1 inch = 2 miles". From this, we can find out how many miles one inch represents on Map B.
Step 1: Observe Map A's scale
Map A has a scale of 1 inch = 1 mile. Visually, Hall Road on Map A appears to be 2 inches long (by comparing with the scale bar or estimating the length).
Step 2: Calculate actual length (in terms of map - inch to real - mile conversion)
Since 1 inch on Map A is 1 mile, for a length of 2 inches on the map, the real - world length (in terms of the map's representation of Hall Road's length) is $2\times1 = 2$ inches (map length) and in miles, since 1 inch = 1 mile, it is 2 miles. But the question is about the length on the map (in inches). By looking at the map, Hall Road on Map A is 2 inches long (we can see from the scale bar and the road's length on the map).
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