High School

Which of the following unit factors is derived from 1 meter = 39.4 inches?

A. 1 m / 1 in.
B. 1 m / 39.4 in.
C. 39.4 in. / 39.4 m
D. 1 in. / 39.4 m
E. None of these

Answer :

Final answer:

The unit factor derived from the conversion 1 meter = 39.37 inches is 1 m/39.4 in. It helps convert measurements between meters and inches.

Explanation:

The conversion factor derived from 1 meter = 39.37 inches (approximately 39.4) is 1 m/39.4 in.. This factor is obtained from the conversion relationship: 1 meter is equivalent to 39.37 inches. Thus, if we want to convert from meters to inches, we can multiply by the conversion factor 39.4 inches per 1 meter. Conversely, to convert from inches to meters, we can multiply by its reciprocal which is 1 meter per 39.4 inches, or equivalently, 1 m/39.4 in.

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