To determine how far apart Lewis City and Jenkinsville are on Arturo's drawing, we first need to establish the scale based on the distance between Lewis City and Bellstown.
The actual distance between Lewis City and Bellstown is 120 km, and in the drawing, this distance is represented as 6 centimeters. To find the scale, we can set up the following ratio:
\[ \text{Scale} = \frac{\text{Distance on drawing (cm)}}{\text{Actual distance (km)}} = \frac{6 \text{ cm}}{120 \text{ km}} = \frac{1 \text{ cm}}{20 \text{ km}} \]
Now we need to find the actual distance between Lewis City and Jenkinsville, which is given as 60 km. Using the scale we found, we can convert the actual distance into the drawing distance:
\[ \text{Distance on drawing} = \text{Actual distance} \times \text{Scale} \]
\[ \text{Distance on drawing} = 60 \text{ km} \times \frac{1 \text{ cm}}{20 \text{ km}} = 3 \text{ cm} \]
Therefore, the distance between Lewis City and Jenkinsville on Arturo’s drawing is 3 centimeters.
So the correct response is:
3 centimeters
1 answer