Answer:
13.1 cm
Step-by-step explanation:
We have been given that a map of Australia has a scale of 1 cm: 110 km. The distance between Darwin and Alice spring is 1444 kilometers. We are asked to find the distance on map between both.
We will use proportions to solve our given problem as:
[tex]\frac{\text{Distance on map}}{\text{Actual distance}}=\frac{1\text{ cm}}{\text{110 km}}[/tex]
[tex]\frac{\text{Distance on map}}{\text{1444 km}}=\frac{1\text{ cm}}{\text{110 km}}[/tex]
[tex]\frac{\text{Distance on map}}{\text{1444 km}}*\text{1444 km}=\frac{1\text{ cm}}{\text{110 km}}*\text{1444 km}[/tex]
[tex]\text{Distance on map}=\frac{1\text{ cm}}{1}*\text{13.12727}[/tex]
[tex]\text{Distance on map}=13.12727\text{ cm}[/tex]
[tex]\text{Distance on map}\approx 13.1\text{ cm}[/tex]
Therefore, the distance on map between both locations is approximately 13.1 cm.
