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
9.2735×102

1.50511×103

9.444×102

3.10801×103

3.50307×103

6.7037×102

Baltimore
9.2735×102

0
5.7785×102

9.7323×102

3.72245×103

3.7441×103

1.37072×103

Boston
1.50511×103

5.7785×102

0
1.36663×103

4.16643×103

3.99708×103

1.90293×103

Chicago
9.444×102

9.7323×102

1.36663×103

0
2.79980×103

2.78657×103

1.61477×103

Los Angeles
3.10801×103

3.72245×103

4.16643×103

2.79980×103

0
1.5442×103

3.45696×103

Seattle
3.50307×103

3.7441×103

3.99708×103

2.78657×103

1.5442×103

0
4.06249×103

Tampa
6.7037×102

1.37072×103

1.90293×103

1.61477×103

3.45696×103

4.06249×103

0
Sita lives in Los Angeles, and her grandmother lives in Seattle. Sita plans to visit her grandmother three times in the next year. Assuming she travels the direct straight-line distance between the cities on each trip, what is the total distance she will travel to make these three trips? Write and evaluate an expression that uses multiplication to calculate the total distance traveled. Give your answer in both decimal notation and scientific notation. 

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
15 days ago

To find the total distance Sita will travel to see her grandmother in Seattle from Los Angeles, we need to first find the distance between these two cities, which is given in the table:

- Distance from Los Angeles to Seattle: \( 1.5442 \times 10^3 \) miles

Now, to find the total distance Sita will travel for three trips, we will multiply the one-way distance by the number of trips:

\[
\text{Total Distance} = \text{Distance from Los Angeles to Seattle} \times 3
\]

Substituting the distance:

\[
\text{Total Distance} = 1.5442 \times 10^3 \times 3
\]

Now, we perform the multiplication:

\[
1.5442 \times 3 = 4.6326
\]

Thus, the total distance in scientific notation becomes:

\[
\text{Total Distance} = 4.6326 \times 10^3
\]

Now we will express this in decimal notation:

\[
4.6326 \times 10^3 = 4632.6 \text{ miles}
\]

Therefore, the total distance Sita will travel to visit her grandmother in Seattle three times is:

- **Decimal notation:** 4632.6 miles
- **Scientific notation:** \( 4.6326 \times 10^3 \) miles