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

2 centimeters
2 centimeters

12 centimeters
12 centimeters

0.05 centimeters
0.05 centimeters

3 centimeters

Answer 1

To determine the distance between Lewis City and Jenkinsville on Arturo's scale drawing, we first need to establish the scale based on the actual distance between Lewis City and Bellstown.

The actual distance between Lewis City and Bellstown is 120 km, which corresponds to 6 centimeters on Arturo's drawing. We can find the scale for the drawing as follows:

1. Calculate the scale factor:
\[
\text{Scale Factor} = \frac{\text{Actual Distance}}{\text{Drawing Distance}} = \frac{120 \text{ km}}{6 \text{ cm}} = 20 \text{ km/cm}
\]

2. Now, we want to find the distance between Lewis City and Jenkinsville on the drawing. The actual distance between Lewis City and Jenkinsville is 60 km.

3. Using the scale factor, we calculate the distance on the drawing:
\[
\text{Distance on drawing} = \frac{\text{Actual Distance}}{\text{Scale Factor}} = \frac{60 \text{ km}}{20 \text{ km/cm}} = 3 \text{ cm}
\]

Therefore, the distance between Lewis City and Jenkinsville on Arturo's drawing is **3 centimeters**.

The correct answer is:
**3 centimeters**.