Question

The Unit Rate as a Scale Factor Adrian 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 56 km. On his map, the distance is 4 cm. What is the scale factor?

Answer 1

$\begin{gathered} \text{Scale factor = 1:1400000} \\ 1\operatorname{cm}\text{ represent 14km} \end{gathered}$Explanation:

Distance from airport to his cousin's house = 56km

The distance on the map = 4cm

$\begin{gathered} 4\operatorname{cm}\text{ = 56km} \\ 1\text{ cm = 56/4} \\ 1\text{ cm = }14\operatorname{km} \end{gathered}$$\text{This means 1cm on the map represent 14km in real life distance}$$\begin{gathered} 14\operatorname{km}\text{ = 14}\times1000\times100\operatorname{cm} \\ 14\operatorname{km}\text{ = 1400000cm} \\ The\text{ scale factor = 1cm : 14km = }1\operatorname{cm}\text{ :1400000cm} \\ \text{The sclae factor = 1:1400000} \end{gathered}$