Did you know Chillicothe was once the capital of Ohio? The distance from Chillicothe to the current capital, Columbus, is 48 miles. Using the scale on the map below, how many centimeters apart are the two cities? Show how you set up the proportion and your calculations.
Don't you know that we cannot see the map???
this did not c]show the map that is why i need help
dont know where the [c came from srry
Obviously we can't help you. If you are supposed to have a map for this question and you don't see a map, ask your teacher. We have no connection with any school.
With no map and we don't know the scale to which the map is drawn, we can't help. Few of us have a crystal ball that is working.
To find the distance between Chillicothe and Columbus in centimeters using the given map, we need to set up a proportion using the scale.
Let's assume that the distance between Chillicothe and Columbus on the map is represented by x centimeters.
The given information states that the distance between the two cities in real life is 48 miles. Let's convert this to inches since the scale on the map is provided in inches.
1 mile = 63,360 inches (approximately)
So, the real-life distance between Chillicothe and Columbus is 48 miles x 63,360 inches/mile = 3,043,680 inches.
Now, let's set up a proportion using the actual distance and the distance on the map:
Actual distance / Map distance = Actual scale / Map scale
Plugging in the values, we have:
3,043,680 inches / x centimeters = 63,360 inches / 1 inch (according to the map scale)
To solve this proportion, we need to convert inches to centimeters by multiplying by 2.54 (since there are 2.54 centimeters in an inch).
3,043,680 inches / (x centimeters * 2.54 centimeters/inch) = 63,360 inches / 1 inch
Simplifying the equation, we have:
3,043,680 / (x * 2.54) = 63,360
To solve for x, we can cross-multiply:
3,043,680 = 63,360 * (x * 2.54)
Dividing both sides by (63,360 * 2.54):
3,043,680 / (63,360 * 2.54) = x
Calculating:
x ≈ 19.02 cm
Therefore, the two cities, Chillicothe and Columbus, are approximately 19.02 centimeters apart on the map.