There are two different maps of Ohio. The scale on the first map is 1 cm to 10 km. The distance from Cleveland to Cincinnati is 40 cm. The scale on the second map is 1 cm to 50 km. What is the distance from Cleveland to Cincinnati on the second map?

The distance from Cleveland to Cincinnati on the second map=8 cm

Step-by-step explanation:

Step 1

Determine the actual distance from Cleveland to Cincinnati from the first map

map distance=actual distance*scale factor

where;

map distance=40 cm

actual distance=d

scale factor=1 cm to 10 km=1/10

replacing;

40=actual distance * (1/10)

actual distance = (40*10) = 400 km

Actual distance between Cleveland and Cincinnati=400 km

Step 2

Calculate map distance using the second scale

map distance=actual distance*scale factor

where;

actual distance=400 km

scale factor=1/50

replacing;

map distance=400 * (1/50) = 8 cm

The distance from Cleveland to Cincinnati on the second map=8 cm