A map uses the scale 1.5 cm = 25 mi. Two cities are 190 miles apart. How far apart are the cities on the map?
A. 0.21 cm
B. 11.4 cm
C. 2,917 cm
D. 6,563 cm
11.4
1.5 cm / 25 = x / 190
To find the distance between the cities on the map, we can set up a proportion using the given scale.
The scale is 1.5 cm = 25 miles.
Let's use "x" to represent the distance between the cities on the map.
The proportion is as follows:
1.5 cm / 25 mi = x cm / 190 mi
Cross-multiplying, we have:
1.5 cm * 190 mi = 25 mi * x cm
285 cm * mi = 25 mi * x cm
Dividing both sides of the equation by 25 mi, we get:
285 cm = x cm
So the distance between the cities on the map is 285 cm.
Therefore, the correct answer is not among the options given.
To solve this problem, you can set up a proportion using the given scale on the map.
The scale on the map is 1.5 cm = 25 mi.
Let's set up the proportion:
1.5 cm / 25 mi = x cm / 190 mi
Cross-multiplying, we get:
25 mi * x cm = 1.5 cm * 190 mi
Now, solve for x by dividing both sides by 25 mi:
x cm = (1.5 cm * 190 mi) / 25 mi
Simplifying, we have:
x cm = 11.4 cm
Therefore, the distance between the cities on the map is 11.4 cm.
So, the correct answer is B. 11.4 cm.