Question
Town Town Actual Distance Between Towns
Bellstown Lewis City 120 km
Bellstown Jenkinsville 40 km
Jenkinsville Lewis City 60 km
Arturo creates a scale drawing showing these distances. If the distance between Lewis City and Bellstown is 6 centimeters on his drawing, how far apart are Lewis City and Jenkinsville on Arturo’s drawing?
(1 point)
Responses
12 centimeters
12 centimeters
0.05 centimeters
0.05 centimeters
2 centimeters
2 centimeters
3 centimeters
3 centimeters
Answers
GPT-4o mini
To find the distance between Lewis City and Jenkinsville on Arturo's drawing, we can use the actual distances and the scale from the drawing.
1. **Find the scale**: The actual distance between Lewis City and Bellstown is 120 km, which corresponds to 6 cm on the drawing. We can set up a ratio to find the scale.
\[
\text{Scale} = \frac{\text{Drawing distance}}{\text{Actual distance}} = \frac{6 \text{ cm}}{120 \text{ km}} = \frac{1 \text{ cm}}{20 \text{ km}}
\]
2. **Calculate the distance between Lewis City and Jenkinsville**: The actual distance between Lewis City and Jenkinsville is 60 km. Using the scale we found:
\[
\text{Drawing distance} = \text{Actual distance} \times \text{Scale}
\]
\[
\text{Drawing distance} = 60 \text{ km} \times \frac{1 \text{ cm}}{20 \text{ km}} = 3 \text{ cm}
\]
Thus, the distance between Lewis City and Jenkinsville on Arturo's drawing is **3 centimeters**.
So the correct response is:
**3 centimeters**
1. **Find the scale**: The actual distance between Lewis City and Bellstown is 120 km, which corresponds to 6 cm on the drawing. We can set up a ratio to find the scale.
\[
\text{Scale} = \frac{\text{Drawing distance}}{\text{Actual distance}} = \frac{6 \text{ cm}}{120 \text{ km}} = \frac{1 \text{ cm}}{20 \text{ km}}
\]
2. **Calculate the distance between Lewis City and Jenkinsville**: The actual distance between Lewis City and Jenkinsville is 60 km. Using the scale we found:
\[
\text{Drawing distance} = \text{Actual distance} \times \text{Scale}
\]
\[
\text{Drawing distance} = 60 \text{ km} \times \frac{1 \text{ cm}}{20 \text{ km}} = 3 \text{ cm}
\]
Thus, the distance between Lewis City and Jenkinsville on Arturo's drawing is **3 centimeters**.
So the correct response is:
**3 centimeters**