To determine the distance between Lewis City and Jenkinsville in Arturo's scale drawing, we first need to establish the scale of the drawing.
Given:
- Actual distance between Bellstown and Lewis City: 120 km
- Drawing distance between Bellstown and Lewis City: 6 cm
Let's find the scale factor:
\[ \text{Scale factor} = \frac{\text{Drawing distance}}{\text{Actual distance}} = \frac{6 \text{ cm}}{120 \text{ km}} \]
We can simplify this ratio:
\[ \frac{6 \text{ cm}}{120 \text{ km}} = \frac{1 \text{ cm}}{20 \text{ km}} \]
This means 1 cm on the drawing represents 20 km in actual distance.
Next, we use this scale factor to find the drawing distance between Lewis City and Jenkinsville. The actual distance between Lewis City and Jenkinsville is 60 km.
\[ \text{Drawing distance} = \frac{\text{Actual distance}}{\text{Scale factor}} = \frac{60 \text{ km}}{20 \text{ km/cm}} \]
Calculating this gives us:
\[ \text{Drawing distance} = 3 \text{ cm} \]
So, the distance between Lewis City and Jenkinsville on Arturo’s drawing is 3 centimeters.
Use the table to answer the question.Town Town Actual Distance Between TownsBellstown Lewis City 120 kmBellstown Jenkinsville 40 kmJenkinsville Lewis City 60 kmArturo 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)
1 answer