The scale of a map of the Earth reads 1 : 500000. This means that 1 inch on the map is equivalent to 500000 inches on the surface of the Earth. How many miles on the surface of the Earth, to the nearest thousandth, correspond to 2 inches on the map? Note: 1 mile = 1760 yards

Rationale

15.783 miles correspond to 2 inches on the map.

To find the equivalent distance on the Earth's surface for 2 inches on the map, we multiply 2 inches by the scale factor of 500,000, resulting in 1,000,000 inches. Converting this distance into miles involves dividing by the number of inches in a mile (63,360 inches), yielding approximately 15.783 miles.

A (15.783 miles) CORRECT

This choice correctly represents the conversion of 2 inches on the map into miles on the Earth's surface. By calculating 2 inches × 500,000 inches/inch = 1,000,000 inches, and then converting that to miles by dividing by 63,360 inches/mile, we find the distance to be approximately 15.783 miles.

B (189.394 miles) YOUR ANSWER

This option is incorrect as it does not accurately reflect the conversion from the map scale. If we mistakenly calculated the conversion by using an incorrect factor or misunderstanding the scale, we could end up with a much larger number, but it does not align with the actual calculations based on the provided scale.

C (568.182 miles) YOUR ANSWER

This choice also fails to represent the correct conversion. It likely resulted from a miscalculation in the scaling process or incorrect assumptions regarding the relationship between inches on the map and actual miles on the Earth's surface, leading to an erroneously high figure.

D (1000000 miles) YOUR ANSWER

This option grossly overstates the distance, misunderstanding the relationship entirely. It seems to take the total number of inches on the surface without proper conversion into miles, indicating a fundamental error in interpreting the scale of the map.

Conclusion

The correct conversion from a map scale of 1:500,000 reveals that 2 inches on the map represents approximately 15.783 miles on the Earth's surface when calculated correctly. The other choices reflect various misunderstandings or miscalculations of the scale, emphasizing the importance of precise calculations in geographical measurements.

The scale of a map of the Earth reads 1 : 500000. This means that 1 inch on the map is equivalent to 500000 inches on the surface of the Earth. How many miles on the surface of the Earth, to the nearest thousandth, correspond to 2 inches on the map? Note: 1 mile = 1760 yards

15.783 miles correspond to 2 inches on the map.

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