The distance between Vancouver and Winnipeg is approximately 1850 km in a straight line. The distance on a map is 3.7 cm. Write a scale statement for the map. What scale factor was used to make the map.
Answers
3.7cm : 1850km
1cm : 1850/3.7 km
1cm : 500km
Scale statement for map is : 1cm : 500km.
That is 1cm on map represents 500km.
1cm : 500km. Recall 1km = 1000m = 100 000cm
1cm : 500* 100000cm
1cm : 50 000 000cm
1: 50 000 000.
Scale factor is 50 000 000.
Final answer:
The scale of the map is 1 cm : 500 km, meaning 1 cm on the map corresponds to an actual distance of 500 km on the ground. This is the scale factor used to create the map.
Explanation:
The scale of a map is a ratio that represents the relationship between the distance on the map and the actual distance on the ground. In this case, the actual distance between Vancouver and Winnipeg is 1850 km, while the distance on the map is 3.7 cm. Therefore, the scale of the map can be represented as 1 cm : 500 km (because 1850 km / 3.7 cm = approximately 500 km).
This means that 1 cm on the map represents an actual distance of 500 km on the ground, which is the scale factor used to create the map. Therefore, the scale statement for the map would be "1 cm on the map represents 500 km on the ground" or it can be written shorthand as 1:50,000,000 (considering 1 km = 1,000,000 cm).
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