A map is drawn so that every 3.5 inches on the map corresponds to an actual distance of 100 miles. If the actual distance between the two cities is 220 miles, how far apart are they on the map?
A) 18.8 inches
B) 63 inches
C) 7.7 inches
D) 16.6 inches
E) 2.2 inches

Question

Quizplus · Accepted Answer

If every 3.5 inches on the map corresponds to 100 miles, then 1 inch on the map corresponds to:
100 miles/3.5 inches = 28.57 miles/inch

To find how far apart the cities are on the map, we can set up a proportion:
distance on map / actual distance = 1 inch / 28.57 miles

Let's call the distance on the map "x":
x / 220 miles = 1 inch / 28.57 miles

To solve for x, we can cross-multiply:
x = 220 miles * 1 inch / 28.57 miles
x ≈ 7.7 inches

Therefore, the distance between the two cities on the map is 7.7 inches. The answer is C).

A Map Is Drawn So That Every 3