If you look at a state map with a representative fraction scale of 1:500,000; the straight-line distance between two cities is equal to 12.7 inches on the map. Assuming that the representative fraction scale is also in inches, what is the ground distance between these two cities in miles?

Question

Mathematics

Alexis Jones

20 January, 00:43

If you look at a state map with a representative fraction scale of 1:500,000; the straight-line distance between two cities is equal to 12.7 inches on the map. Assuming that the representative fraction scale is also in inches, what is the ground distance between these two cities in miles?

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Mathews · Answer 1

Step-by-step explanation:

The scale factor is given as 1:500,000

i. e. original 500,000 is represented as 1 inch in the map

Hence if 12.7 inches on the map, this is a question of direct variation

So actual distance = 12.7 (500000) = 6350000