Answer: [tex]scale\ factor=\frac{1}{1,400,000}[/tex]
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 [tex]1\ km=100,000\ cm[/tex]):
[tex](56\ km)(\frac{100,000\ cm}{1\ km})=5,600,000\ cm[/tex]
Therefore, you can apply this procedure in order to find the scale factor:
[tex]scale\ factor=\frac{4\ cm}{5,600,000\ cm}\\\\scale\ factor=\frac{1}{1,400,000}[/tex]
