23. To find the actual distance between Cardwell and Claremont, we can set up a proportion using the scale of the map:
3 in. : 100 mi. = 4.5 in. : x
Cross-multiplying and solving for x, we get:
x = (4.5 in. * 100 mi.) / 3 in. = 150 miles
Therefore, it is 150 miles between Cardwell and Claremont.
24. Similarly, to find the actual distance between Kingston and Goldsboro, we set up a proportion using the scale of the map:
3 in. : 100 mi. = 2 in. : x
Cross-multiplying and solving for x, we get:
x = (2 in. * 100 mi.) / 3 in. ≈ 67 miles
Therefore, it is approximately 67 miles between Kingston and Goldsboro.
25. To find the distance between Dodge City and Pine Bluff on the map, we need to use the inverse of the scale:
100 mi. : 3 in. = x mi. : 1 in.
Cross-multiplying and solving for x, we get:
x = (100 mi. * 1 in.) / 3 in. ≈ 33.33 miles/in.
To find the distance on the map, we can multiply the actual distance by the scale:
x = 500 mi. * 1 in. / 33.33 miles/in. ≈ 15 in.
Therefore, the distance between Dodge City and Pine Bluff on the map is approximately 15 inches.
26. Again, using the inverse of the scale, we set up a proportion:
100 mi. : 3 in. = 175 mi. : x in.
Cross-multiplying and solving for x, we get:
x = (175 mi. * 3 in.) / 100 mi. = 5.25 in.
Therefore, the distance between Stenson and South Fork on the map is 5.25 inches.
If a road map has a scale of 3 in. : 100 mi., find the following distances. 23. How far is it between Cardwell and Claremont if they are 4.5 in. apart on the map? 24. How far is it between Kingston and Goldsboro if they are 2 in. apart? Round to the nearest mile. 25. If Dodge City and Pine Bluff are 500 mi. apart, what is the distance between them on a map? 26. If Stenson and South Fork are 175 mi. apart, what is the distance between them on the map? SHOW WORK
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