Answer:
21/3100000 ≈ 1/147619
Explanation:
You want the scale of a map on which 4.2 cm corresponds to an actual distance of 6.2 km.
Scale
The scale of a drawing is the ratio of drawing distance to actual distance. It can be expressed a couple of ways. We can write the given scale as ...
4.2 cm : 6.2 km
or, we can reduce it to ...
2.1 cm : 3.1 km
Often, we like to have a single unit of map distance in this ratio, which would make it be approximately ...
1 cm : 1.47619 km
Fraction
Another way to write the scale of a map is as a fraction.
(4.2 cm)/(6.2 km) = (0.042 m)/(6200 m) = 21/3100000
When this is expressed as a unit fraction, the denominator is a repeating decimal with a 6-digit repeat. We can round it to ...
≈ 1/147619 . . . . map scale
The scale of the map is ...
21/3100000 ≈ 1/147619 or 2.1 cm : 3.1 km or ≈ 1 cm : 1.47619 km
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Additional comment
You may need to round the answer to match one of your answer choices.
<95141404393>