Question

On a map, the distance between two landmark is 9.5 inches. If 1/2 inch represents 10 miles, how far, in miles, is it between the two landmarks (to the nearest mile)?

A) 190 miles
B) 285 miles
C) 380 miles
D) 475 miles

Answer 1

To find the actual distance between the two landmarks, multiply the given distance on the map by the scale factor. The distance is 190 miles.

Step-by-step explanation:

To find the actual distance between the two landmarks in miles, we need to multiply the given distance on the map by the scale factor. The scale factor is given as 1/2 inch represents 10 miles. So for every half inch on the map, there are 10 miles in real life.

Given that the distance between the landmarks on the map is 9.5 inches, we can set up a proportion:

1/2 inch / 10 miles = 9.5 inches / x miles

Cross-multiplying, we get 1/2 * x = 10 * 9.5

x = (10 * 9.5) / (1/2) = 190 miles

Therefore, the distance between the two landmarks in miles is 190 miles (option A).