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

3 centimeters
3 centimeters

2 centimeters
2 centimeters

12 centimeters
12 centimeters

1 answer

To determine the distance between Lewis City and Jenkinsville on Arturo's drawing, we can use the scale based on the actual distance between Lewis City and Bellstown.

Actual distance between Lewis City and Bellstown: 120 km
Drawing distance between Lewis City and Bellstown: 6 cm

Now, let's find the scale factor:
Scale = Drawing Distance / Actual Distance
Scale = 6 cm / 120 km
Scale = 1 cm / 20 km

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

Next, we'll convert this actual distance into the drawing distance:
Drawing distance = Actual distance * Scale
Drawing distance = 60 km * (1 cm / 20 km)
Drawing distance = 60 / 20 cm
Drawing distance = 3 cm

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

The correct response is: 3 centimeters.