EXAMPLE 4
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Transcript of EXAMPLE 4
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EXAMPLE 4 Use the scale on a map
Maps
Use a metric ruler and the map of Ohio to estimate the distance between Cleveland and Cincinnati.
SOLUTION
From the map’s scale, 1 centimeter represents 85 kilometers. On the map, the distance between Cleveland and Cincinnati is about 4.2 centimeters.
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EXAMPLE 4 Use the scale on a map
Write and solve a proportion to find the distance d between the cities.
=4.2 d
1 centimeters85 kilometers
Cross products property
d = 357 Simplify.
ANSWER
The actual distance between Cleveland and Cincinnati is about 357 kilometers.
1 d = 85 4.2
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EXAMPLE 4 Use the scale on a mapGUIDED PRACTICE for Example 4
5.
Use a metric ruler and the map in Example 4 to estimate the distance (in kilometers) between Columbus and Cleveland.
about 212.5 kmANSWER
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EXAMPLE 4 Use the scale on a mapGUIDED PRACTICE for Example 4
6.
The ship model kits sold at a hobby store have a scale of 1 ft : 600 ft. A completed model of the Queen Elizabeth II is 1.6 feet long. Estimate the actual length of the Queen Elizabeth II.
Model ships
ANSWER about 960 ft