Question

Paul is making a map for Geography. In order to draw the map, he must create a scale converting the measured inches on the map to actual miles.

Length in Inches 1-1/4 1-1/2 1-3/4 2-1/4 2-1/2 2-3/4

Length in Miles 25 30 35 45 50 55


Use the table above to identify the scale he used for his map.

A. 1 in = 10 miles


B. 1 in = 5 miles


C. 1 in = 20 miles


D. 1 in = 15 miles

Answer 1

C. 1 in = 20 miles

Explanation:

The lengths are proportional, so you can form the ratio of any pair and reduce it to a ratio to 1 inch:

(25 miles)/(1.25 in) = (25/1.25) miles/in = 20 miles/in

Paul's scale is 1 in ⇒ 20 miles.