Use the table to answer the 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 3 centimeters 3 centimeters 0.05 centimeters

1 answer

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

The actual distance between Lewis City and Bellstown is 120 km. On Arturo's drawing, this distance is represented as 6 centimeters. Therefore, we can calculate the scale of the drawing as follows:

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

To make it easier to use, we can simplify this:

\[ \text{Scale} = \frac{6\text{ cm}}{120\text{ km}} = \frac{1\text{ cm}}{20\text{ km}} \]

Now, we need to find the distance between Lewis City and Jenkinsville, which is given as 60 km. We can now use the scale to determine how far this distance would be represented on Arturo’s drawing:

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

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

The correct response is 3 centimeters.