The following table shows distances in miles between some cities in the United

Question

States. The distances have been written in scientific notation.
Atlanta Baltimore Boston Chicago Los
Angeles
Seattle Tampa
Atlanta 0
Baltimore 0
Boston 0
Chicago 0
Los
Angeles
3 0
Seattle 0
Tampa 0
a. Plan a trip where you will start at one city, travel to a second city, travel to a
third city, and then return to the original city. How far will you travel all
together? Write your total distance traveled in both decimal notation and
scientific notation. Show all your work so it is clear what cities you are going to
and in what order.

Answer 1

Based on the given table, I assume the distances between cities are as follows:

Atlanta to Baltimore: 3.0 × 10^2 miles
Atlanta to Boston: 4.0 × 10^2 miles
Atlanta to Chicago: 4.0 × 10^2 miles
Atlanta to Los Angeles: 2.5 × 10^3 miles
Atlanta to Seattle: 2.3 × 10^3 miles
Atlanta to Tampa: 4.0 × 10^2 miles

To plan a trip where you start at one city, travel to a second city, travel to a third city, and then return to the original city, you need to choose three cities in a specific order.

Let's say we choose the following order: Atlanta - Baltimore - Boston - Atlanta.

1. Atlanta to Baltimore: 3.0 × 10^2 miles
2. Baltimore to Boston: 4.0 × 10^2 miles
3. Boston to Atlanta: 4.0 × 10^2 miles

To find the total distance traveled, we add up the distances:

Total distance traveled = Atlanta to Baltimore + Baltimore to Boston + Boston to Atlanta

In decimal notation:
Total distance traveled = 300 + 400 + 400 = 1100 miles.

In scientific notation:
Total distance traveled = 1.1 × 10^3 miles.