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

0.05 centimeters
0.05 centimeters

12 centimeters
12 centimeters

2 centimeters
2 centimeters

3 centimeters
3 centimeters

1 answer

To determine how far apart Lewis City and Jenkinsville are on Arturo's drawing, we first need to establish the scale being used.

From the table, the actual distance between Lewis City and Bellstown is 120 km, which corresponds to 6 centimeters in the drawing.

To find the scale, we can set up the following relationship:

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

Now, we can find the distance between Lewis City and Jenkinsville, which is 60 km in actual distance.

Using the scale we found, we can convert this actual distance into the drawing distance:

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

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

Correct answer: 3 centimeters.

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