Jack and his Friends are planning a road trip for the summer. They want to go from Chicago to Los Angeles but want to stop halfway to due to it being a long drive and want to find a place to relax in. How many miles do they have to drive for?

Question

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

Answer 1

To find the distance from Chicago to Los Angeles, we can look at the table you provided. The distance from Chicago to Los Angeles is given as \(2.79980 \times 10^3\) miles, which simplifies to \(2799.80\) miles.

Since Jack and his friends want to stop halfway on their road trip, we need to calculate half of this distance:

\[ \text{Half Distance} = \frac{2799.80}{2} = 1399.90 \text{ miles.} \]

Therefore, Jack and his friends will need to drive approximately 1399.90 miles before they reach the halfway point on their trip from Chicago to Los Angeles.