Answer:
The actual distance between the cities is 211.67 cm.
Step-by-step explanation:
Given:
The map key indicates that 4.5 cm is equivalent to 75 cm.
Now, to find the actual distance between the cities if the cities are 12.7 cm apart on the map.
Let the actual distance be [tex]x[/tex].
So, we set a proportion to find the actual distance:
4.5:12.7 = 75:x.
Changing into fractions.
[tex]\frac{4.5}{12.7} =\frac{75}{x}[/tex]
By cross multiplication we get:
[tex]4.5x=952.5[/tex]
Dividing both sides by 4.5 we get:
[tex]x=211.67[/tex]
Therefore, the actual distance between the cities is 211.67 cm.
