Question

A cartographer (map maker) uses a scale of 1 inch to represent 100 miles on a map. If two landmarks are 257 miles apart, find the correct distance for the map.

A) 1.00 inches
B) 2.57 inches
C) 3.57 inches
D) 2.00 inches

Answer 1

A cartographer uses a scale of 1 inch to represent 100 miles on a map. If two landmarks are 257 miles apart, the correct distance for the map is 2.57 inches.

Step-by-step explanation:

A cartographer uses a scale of 1 inch to represent 100 miles on a map. If two landmarks are 257 miles apart, we can find the correct distance for the map using a proportion.

Let's set up the proportion:

1 inch = 100 miles

x inches = 257 miles

To solve for x, we can cross-multiply:

1 * 257 = 100 * x

257 = 100x

Divide both sides by 100 to isolate x:

257 / 100 = x

2.57 = x

Therefore, the correct distance for the map is 2.57 inches, so the answer is B) 2.57 inches.