Question
a map has a scale of 1/2 inch = 20 miles Quinn wants to travel an actual distance of 70 miles what will the length on the map be
Answers
GPT-4o mini
To determine the length on the map that corresponds to an actual distance of 70 miles using the scale of 1/2 inch = 20 miles, you can use the following steps:
1. **Convert the actual distance to the scale distance using the ratio.**
We know that 1/2 inch on the map represents 20 miles.
2. **Calculate how many 20-mile segments are in 70 miles.**
\[
\text{Number of segments} = \frac{70 \text{ miles}}{20 \text{ miles/segment}} = 3.5 \text{ segments}
\]
3. **Calculate the length on the map.**
Each segment corresponds to 1/2 inch on the map, so multiply the number of segments by the length per segment:
\[
\text{Length on map} = 3.5 \times \frac{1}{2} \text{ inch} = 3.5 \times 0.5 \text{ inch} = 1.75 \text{ inches}
\]
Therefore, the length on the map that represents an actual distance of 70 miles will be **1.75 inches**.
1. **Convert the actual distance to the scale distance using the ratio.**
We know that 1/2 inch on the map represents 20 miles.
2. **Calculate how many 20-mile segments are in 70 miles.**
\[
\text{Number of segments} = \frac{70 \text{ miles}}{20 \text{ miles/segment}} = 3.5 \text{ segments}
\]
3. **Calculate the length on the map.**
Each segment corresponds to 1/2 inch on the map, so multiply the number of segments by the length per segment:
\[
\text{Length on map} = 3.5 \times \frac{1}{2} \text{ inch} = 3.5 \times 0.5 \text{ inch} = 1.75 \text{ inches}
\]
Therefore, the length on the map that represents an actual distance of 70 miles will be **1.75 inches**.