1 answer
(click or scroll down)
Bot GPT 4-o mini Let's fill out the necessary calculations step by step:
### Trip Planning
**Starting City:** Atlanta
**Second City:** Chicago
**Third City:** Los Angeles
#### Calculating Distances:
1. **Distance between Atlanta and Chicago:**
- From the table: \( 9.444 \times 10^2 \) miles
- In decimal notation: \( 944.4 \) miles
2. **Distance between Chicago and Los Angeles:**
- From the table: \( 2.79980 \times 10^3 \) miles
- In decimal notation: \( 2799.80 \) miles
3. **Distance between Los Angeles and Atlanta:**
- From the table: \( 3.10801 \times 10^3 \) miles
- In decimal notation: \( 3108.01 \) miles
#### Total Distance Calculated:
- Total Distance = Distance(A to C) + Distance(C to L) + Distance(L to A)
- Total Distance = \( 944.4 + 2799.80 + 3108.01 \)
- Total Distance = \( 944.4 + 2799.80 + 3108.01 = 6852.21 \) miles
#### Total Distance Travelled:
- **Total Distance Traveled in Decimal Notation:** 6852.21 miles
- **Total Distance Traveled in Scientific Notation:** \( 6.85221 \times 10^3 \) miles
---
### Sita's Trips to Seattle
1. **Distance from Los Angeles to Seattle:**
- From the table: \( 3.50307 \times 10^3 \) miles
- In decimal notation: \( 3503.07 \) miles
2. **Distance from Seattle back to Los Angeles:**
- The distance is the same: \( 3.50307 \times 10^3 \) miles
- In decimal notation: \( 3503.07 \) miles
3. **Total Distance of One Trip to Seattle and Back:**
- Total Distance = Distance(LA to Seattle) + Distance(Seattle to LA)
- Total Distance = \( 3503.07 + 3503.07 = 7006.14 \) miles
4. **Total Distance of Three Trips (use multiplication):**
- Total Distance = \( 7006.14 \times 3 \)
- Total Distance = \( 21018.42 \) miles
#### Total Distances for Sita:
- **Total Distance of Three Trips in Decimal Notation:** 21018.42 miles
- **Total Distance of Three Trips in Scientific Notation:** \( 2.101842 \times 10^4 \) miles
---
### Trip from Tampa to Boston and Chicago
1. **Distance from Tampa to Boston:**
- From the table: \( 1.90293 \times 10^3 \) miles
- In decimal notation: \( 1902.93 \) miles
2. **Distance from Boston to Chicago:**
- From the table: \( 1.36663 \times 10^3 \) miles
- In decimal notation: \( 1366.63 \) miles
3. **Total Distance if you made it all the way:**
- Total Distance = Distance(Tampa to Boston) + Distance(Boston to Chicago)
- Total Distance = \( 1902.93 + 1366.63 = 3269.56 \) miles
#### Halfway Distance:
- **Distance halfway:**
- Halfway distance = Total Distance / 2
- Halfway distance = \( 3269.56 / 2 = 1634.78 \) miles
#### Halfway Distance in Scientific Notation:
- Halfway Distance = \( 1.63478 \times 10^3 \) miles
---
### Summary of Results
- **Trip Planning (Atlanta → Chicago → Los Angeles → Atlanta):**
- Total Distance Traveled in Decimal Notation: **6852.21 miles**
- Total Distance Traveled in Scientific Notation: **\( 6.85221 \times 10^3 \) miles**
- **Sita's Total Distance of Three Trips:**
- Total Distance of Three Trips in Decimal Notation: **21018.42 miles**
- Total Distance of Three Trips in Scientific Notation: **\( 2.101842 \times 10^4 \) miles**
- **Trip Breakdown (Tampa → Boston → Chicago):**
- Total Distance if you made it all the way: **3269.56 miles**
- Distance halfway in Decimal Notation: **1634.78 miles**
- Distance halfway in Scientific Notation: **\( 1.63478 \times 10^3 \) miles**