Question

Tyler looks at a map on his phone. He zooms in until the map scale for centimeters to kilometers is 0.3 : 1/5. How many centimeters does the map use to show 1 kilometer?

A. 2/3
B. 3/5
C. 0.06
D. 1.5

Answer 1

D. 1.5

Explanation:

Map scale = 0.3 cm to ⅕ km

Let x represent the number of centimeters the map will use to show 1 km.

Thus:

0.3 cm : ⅕ km = x : 1 km

`(0.3cm)/(0.2km) = (x)/(1km)`

Multiply both sides by 1 km

`(0.3)/(0.2)*1 = (x)/(1)*1`

`(0.3)/(0.2) = x`

`1.5 = x`

x = 1.5 cm