Scale 3 cm = 50 miles
1. Did you know Chillicothe was once the capital of Ohio? The distance from Chillicothe to the current capital, Columbus, is 48miles. Using the scale on the map how many centimeters apart are the two cities? Make sure you label your answer.
2. You are visiting a friend in Coshocton and needto get to Cedar Point in Sandusky. These two cities are 106 miles apart. Using the scale on the map how many centimeters aspartate the two cities? Make sure you label your answer
1.
3/50 = x/48
50x = 144
x = 2.88 cm.
Now it's your turn. I'll be glad to check your answer for # 2.
You are visiting a friend in Coshocton and need to get to Cedar Point in Sandusky. These two cities are 106 miles apart. Using the scale of 3 cm = 50 miles, how many centimeters apart are the two cities? Make sure you label your answer. Round your answer to the nearest hundredths.
To find the number of centimeters between two cities using the given scale, we can set up a proportion:
Distance in miles / Scale distance in miles = Distance in centimeters / Scale distance in centimeters
1. For Chillicothe and Columbus:
The distance between the two cities is 48 miles. According to the given scale, 3 cm corresponds to 50 miles. Now we can set up the proportion:
48 miles / 50 miles = x centimeters / 3 centimeters
Cross-multiplying and solving for x, we get:
x = (48 miles * 3 centimeters) / 50 miles
x = 2.88 cm
Therefore, the two cities are approximately 2.88 centimeters apart on the map.
2. For Coshocton and Cedar Point:
The distance between the two cities is 106 miles. Using the same scale, we can set up the proportion:
106 miles / 50 miles = x centimeters / 3 centimeters
Cross-multiplying and solving for x, we get:
x = (106 miles * 3 centimeters) / 50 miles
x = 6.36 cm
Therefore, the two cities are approximately 6.36 centimeters apart on the map.