Question

On a map 2/3 of an inch represents 75 miles. How far apart are two cities in reality if they are 2 5/8 inches apart on the map? You can solve this problem by any means except setting up a proportion and solving for x. Round to the nearest mile

Answer 1

To find the actual distance between two cities on a map, we can set up a proportion using the scale given. By solving the proportion, the actual distance is found to be approximately 591 miles.

Step-by-step explanation:

To find the actual distance between two cities, we need to use the given scale of the map. The scale tells us that 2/3 of an inch represents 75 miles. So, we can set up a proportion to find the actual distance.

Let x be the actual distance in miles.

Using the proportion:

2/3 inch / 75 miles = 2 5/8 inches / x miles

Cross multiply and solve for x:

(2/3)(x) = (75)(2 5/8)

2x/3 = 75(21/8)

2x/3 = 1575/8

2x = (1575/8)(3)

x = 4725/8

x ≈ 590.625 miles

Therefore, the two cities are approximately 591 miles apart in reality.