Question

. A cartographer creates a map using the function

d = 250n where n is the number of inches on the
map and d is the actual distance between the
locations in miles. If the actual distance between
two cities is 1,125 miles, how far apart on the ma
should the cities be?
(A) 0.5 inches
(B) 1.5 inches
(C) 2.5 inches
(D) 4.5 inches

Answer 1

To find the distance between two cities on the map, we can use the formula provided in the question:

d = 250n

where d is the actual distance between the cities in miles, and n is the number of inches on the map. Since we are given that the actual distance between the two cities is 1,125 miles, we can substitute this value for d in the formula above to find the number of inches on the map:

1,125 = 250n

Solving for n, we get:

n = 1,125 / 250 = 4.5 inches

This means that the distance between the two cities on the map should be 4.5 inches, so the correct answer is (D) 4.5 inches.