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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 2 centimeters 2 centimeters 12 centimeters 12 centimeters 3 centimeters

1 answer

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

We know that the actual distance between Bellstown and Lewis City is 120 km, which corresponds to 6 centimeters on the drawing. The scale can be calculated as follows:

  1. Calculate the scale: \[ \text{Scale} = \frac{\text{Drawing distance}}{\text{Actual distance}} = \frac{6 \text{ cm}}{120 \text{ km}} = \frac{6 \text{ cm}}{120,000 \text{ m}} = \frac{6 \text{ cm}}{120,000 \text{ m}} \cdot \frac{1 \text{ km}}{1000 \text{ m}} = \frac{6 \text{ cm}}{120 \text{ km}} \]

    This means that 1 cm on the drawing represents \( \frac{120 \text{ km}}{6 \text{ cm}} = 20 \text{ km/cm} \).

  2. Next, find the actual distance between Lewis City and Jenkinsville:

    • The actual distance between Jenkinsville and Lewis City is given as 60 km.

  3. Convert the actual distance between Lewis City and Jenkinsville into the drawing distance: \[ \text{Drawing distance} = \frac{\text{Actual distance}}{\text{Scale}} = \frac{60 \text{ km}}{20 \text{ km/cm}} = 3 \text{ cm} \]

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

Therefore, the correct response is 3 centimeters.