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

3 centimeters
3 centimeters

2 centimeters
2 centimeters

0.05 centimeters

Pls help

1 answer

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

The actual distance between Lewis City and Bellstown is 120 km, and on Arturo's drawing, this distance is represented as 6 centimeters.

First, we find the scale of the drawing:

\[ \text{Scale} = \frac{\text{Distance on drawing}}{\text{Actual distance}} = \frac{6 \text{ cm}}{120 \text{ km}} = \frac{1 \text{ cm}}{20 \text{ km}} \]

Next, we need to calculate the distance between Jenkinsville and Lewis City in actual kilometers, which is given as 60 km.

Now we can convert this distance into the scale of Arturo's drawing:

\[ \text{Distance on drawing} = \text{Actual distance} \times \text{Scale} \] \[ \text{Distance on drawing} = 60 \text{ km} \times \frac{1 \text{ cm}}{20 \text{ km}} = 3 \text{ cm} \]

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

So the answer is: 3 centimeters