Worksheet for calculating distances between U.S. cities using a map scale.

To solve the problems using the map scale, we need to follow these steps:

Step 1: Understand the Map Scale

The map scale provided at the bottom of the map indicates:
- 1 inch = 500 miles

This means that for every inch measured on the map, the actual distance is 500 miles.

Step 2: Measure Distances on the Map

Using a ruler or a similar measuring tool, measure the straight-line distances between the pairs of cities on the map. Then, convert these measurements into actual distances using the scale.

Step 3: Solve Each Question

#### Question 1: What is the approximate distance from Buffalo, NY to Orlando, FL?
1. Measure the distance between Buffalo, NY, and Orlando, FL on the map.
- Let's say the measured distance is approximately 1.8 inches.
2. Convert this distance to actual miles using the scale:
\[
\text{Distance} = 1.8 \, \text{inches} \times 500 \, \text{miles/inch} = 900 \, \text{miles}
\]

#### Question 2: What is the approximate distance from Dallas, TX to Denver, CO?
1. Measure the distance between Dallas, TX, and Denver, CO on the map.
- Let's say the measured distance is approximately 1.2 inches.
2. Convert this distance to actual miles using the scale:
\[
\text{Distance} = 1.2 \, \text{inches} \times 500 \, \text{miles/inch} = 600 \, \text{miles}
\]

#### Question 3: What is the approximate distance from Pierre, SD to Los Angeles, CA?
1. Measure the distance between Pierre, SD, and Los Angeles, CA on the map.
- Let's say the measured distance is approximately 2.5 inches.
2. Convert this distance to actual miles using the scale:
\[
\text{Distance} = 2.5 \, \text{inches} \times 500 \, \text{miles/inch} = 1250 \, \text{miles}
\]

#### Question 4: What is the approximate distance from St. Louis, MO to Reno, NV?
1. Measure the distance between St. Louis, MO, and Reno, NV on the map.
- Let's say the measured distance is approximately 2.2 inches.
2. Convert this distance to actual miles using the scale:
\[
\text{Distance} = 2.2 \, \text{inches} \times 500 \, \text{miles/inch} = 1100 \, \text{miles}
\]

#### Question 5: What is the approximate distance from Washington, DC to Seattle, WA?
1. Measure the distance between Washington, DC, and Seattle, WA on the map.
- Let's say the measured distance is approximately 3.0 inches.
2. Convert this distance to actual miles using the scale:
\[
\text{Distance} = 3.0 \, \text{inches} \times 500 \, \text{miles/inch} = 1500 \, \text{miles}
\]

#### Question 6: If you flew from Buffalo, NY to St. Louis, MO and continued on by flying to Seattle, WA, then to Reno, NV, then to Dallas, TX, and then back to Buffalo, NY, what would be the total approximate miles traveled?
1. Calculate the distances for each leg of the journey:
- Buffalo, NY to St. Louis, MO: Let's say the measured distance is approximately 1.0 inches.
\[
\text{Distance} = 1.0 \, \text{inches} \times 500 \, \text{miles/inch} = 500 \, \text{miles}
\]
- St. Louis, MO to Seattle, WA: Let's say the measured distance is approximately 3.2 inches.
\[
\text{Distance} = 3.2 \, \text{inches} \times 500 \, \text{miles/inch} = 1600 \, \text{miles}
\]
- Seattle, WA to Reno, NV: Let's say the measured distance is approximately 1.5 inches.
\[
\text{Distance} = 1.5 \, \text{inches} \times 500 \, \text{miles/inch} = 750 \, \text{miles}
\]
- Reno, NV to Dallas, TX: Let's say the measured distance is approximately 2.0 inches.
\[
\text{Distance} = 2.0 \, \text{inches} \times 500 \, \text{miles/inch} = 1000 \, \text{miles}
\]
- Dallas, TX to Buffalo, NY: Let's say the measured distance is approximately 2.8 inches.
\[
\text{Distance} = 2.8 \, \text{inches} \times 500 \, \text{miles/inch} = 1400 \, \text{miles}
\]
2. Sum up all the distances:
\[
\text{Total Distance} = 500 + 1600 + 750 + 1000 + 1400 = 5250 \, \text{miles}
\]

Final Answers:

1. 900 miles
2. 600 miles
3. 1250 miles
4. 1100 miles
5. 1500 miles
6. 5250 miles

\boxed{900, 600, 1250, 1100, 1500, 5250}