2. The following table shows distances in miles between some cities in the United
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.
Based on the provided table, it seems that there is missing information regarding the distances between the cities. All the distances in the table are currently listed as 0, which prevents us from accurately determining the total distance traveled.
Please provide the correct distances between the cities so that I can assist you in planning the trip and calculating the total distance traveled.
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 a sequence of three cities.
Let's choose the sequence Atlanta - Chicago - Seattle - Atlanta.
To find the total distance traveled, we need to add up the distances between each pair of cities.
Atlanta to Chicago: 1.5 × 10^2 miles
Chicago to Seattle: 1.7 × 10^3 miles
Seattle to Atlanta: 2.6 × 10^3 miles
Adding up the distances:
1.5 × 10^2 + 1.7 × 10^3 + 2.6 × 10^3 = 150 + 1,700 + 2,600 = 4,450 miles.
So, the total distance traveled is 4,450 miles in decimal notation and 4.45 × 10^3 miles in scientific notation.
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, we need to determine the distances between these cities.
Let's refer to the distances table given. Based on the table, let's choose the following cities and their respective distances:
1. Start at Atlanta.
2. Travel to Baltimore.
3. Travel to Boston.
4. Return to Atlanta.
Now, let's find the distances between these cities:
1. Atlanta to Baltimore: According to the table, the distance is 3.0 × 10^2 miles.
2. Baltimore to Boston: The table does not provide this distance directly, but since distances are assumed to be symmetric, we can assume it is the same as Atlanta to Baltimore, which is 3.0 × 10^2 miles.
3. Boston to Atlanta: Again, we assume the distance is the same as Atlanta to Baltimore, which is 3.0 × 10^2 miles.
To calculate the total distance traveled, we need to add up the distances between each pair of cities:
Total Distance = (Atlanta to Baltimore) + (Baltimore to Boston) + (Boston to Atlanta)
= (3.0 × 10^2) + (3.0 × 10^2) + (3.0 × 10^2)
= 3.0 × 10^2 + 3.0 × 10^2 + 3.0 × 10^2
= 9.0 × 10^2 miles (in scientific notation)
= 900 miles (in decimal notation)
Therefore, the total distance traveled is 900 miles in decimal notation or 9.0 × 10^2 miles in scientific notation.