Question

Giovanni went to Los Angeles, California, for the summer to visit his cousins. He used a map of bus routes to get from the airport to his cousin's house. The distance from the airport to his cousin's house is 56km. On his map, the distance is 4 cm. what is the scale factor?

Answer 1

To find the scale factor, we compare the distance on the map to the actual distance. The scale factor in this case is 14,000.

Step-by-step explanation:

To find the scale factor, we need to compare the distance on the map to the actual distance. In this case, the distance from the airport to Giovanni's cousin's house is 56km, and on the map, it is represented by 4 cm. We can set up a proportion to find the scale factor:

Actual distance / Distance on map = Scale factor

56 km / 4 cm = Scale factor

Since 1 kilometer = 100,000 centimeters, we convert the actual distance to centimeters:

56 km = 56,000 cm

Now we can solve for the scale factor:

56,000 cm / 4 cm = 14,000

Therefore, the scale factor is 14,000.

Answer 2

Answer:
`scale\ factor=(1)/(1,400,000)`

Step-by-step explanation:

You know that the actual distance from the airport to his cousin's house is 56 kilometers and on the map this distance is 4 centimeters.

Then, you need to make the conversion from kilometers to centimeters (Remember that
`1\ km=100,000\ cm`):

`(56\ km)((100,000\ cm)/(1\ km))=5,600,000\ cm`

Therefore, you can apply this procedure in order to find the scale factor:

`scale\ factor=(4\ cm)/(5,600,000\ cm)\\\\scale\ factor=(1)/(1,400,000)`