The distance between two cities on a map is measured to be 6 inches. The actual distance between the cities is 300 miles. What is the scale of the map?
1 inch = _____ miles
0.2 is my answer
6" : 300mi = 1" : 50mi
if 6 in is equivalent to 300 mi , how can 1 in be equivalent to 0.2 mi?
300mi/6in = 50mi/in,
Scale: 1 in. = 50 miles.
To find the scale of the map, we need to compare the measured distance on the map to the actual distance between the cities. So, we can set up a proportion using the given information:
Measured distance on the map / Actual distance = Scale of the map / 1 inch
Let's substitute the values:
6 inches / 300 miles = Scale of the map / 1 inch
To find the value of the scale of the map, we can cross-multiply and solve for it:
(6 inches) x (1 inch) = (300 miles) x (Scale of the map)
6 = 300 x (Scale of the map)
Dividing both sides of the equation by 300, we can isolate the Scale of the map:
Scale of the map = 6 / 300
Scale of the map = 0.02
Therefore, the scale of the map is 0.02. However, it seems there was an error in your calculation. 0.02 is the correct answer, not 0.2. The scale is expressed as "1 inch = 0.02 miles."