To find how far apart Lewis City and Jenkinsville are on Arturo's drawing, we first need to determine the scale of the drawing based on the given 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.
We can set up a scale ratio:
\[ \text{Scale} = \frac{\text{Length in drawing}}{\text{Actual distance}} = \frac{6 \text{ cm}}{120 \text{ km}} \]
This can be simplified to find the distance in centimeters that corresponds to 1 km:
\[ \frac{6 \text{ cm}}{120 \text{ km}} = \frac{1 \text{ cm}}{20 \text{ km}} \]
Now that we have the scale, we can find the distance between Lewis City and Jenkinsville, which is 60 km in reality.
Using the scale:
\[ \text{Distance in drawing} = \text{Actual distance} \times \text{Scale factor} = 60 \text{ km} \times \frac{1 \text{ cm}}{20 \text{ km}} \]
This simplifies to:
\[ \text{Distance in drawing} = 60 \div 20 = 3 \text{ cm} \]
Thus, the distance between Lewis City and Jenkinsville on Arturo’s drawing is 3 centimeters.
The correct response is:
3 centimeters
1 answer