Question

" 1. You are driving from Atlanta, GA, to Las Vegas, Nevada. The distance between the cities on the map is 5.4 inches. How far many miles apart the cities in actuality?

2. Convert that distance to kilometers."

Answer 1

Using a given scale similar to the examples, if 0.5 inches represents 100 miles on a map, then the actual distance from Atlanta, GA, to Las Vegas, NV is approximately 1080 miles or 1738 kilometers.

Step-by-step explanation:

To find out how many miles apart the cities of Atlanta, GA, and Las Vegas, NV are in actuality, we would need to know the scale used on the map. For the purpose of this exercise, let's use a given scale from a similar example: If the map has a scale where 0.5 inches represents 100 miles, we can set up a proportion to find the actual distance between the two cities.

Let's calculate with the given scale:

• 0.5 inches = 100 miles (Given scale)
• 5.4 inches = x miles (Distance we want to find)

Now, we set up the proportion using cross-multiplication:

(0.5 inches / 100 miles) = (5.4 inches / x miles)

x = (5.4 inches * 100 miles) / 0.5 inches

x = (540 miles) / 0.5

x = 1080 miles

The actual distance from Atlanta to Las Vegas is approximately 1080 miles.

To convert this distance to kilometers, we use the conversion factor that 1 mile is approximately 1.60934 kilometers:

1080 miles * 1.60934 kilometers/mile = 1738.0872 kilometers

The actual distance in kilometers is approximately 1738 kilometers.