Answer:
The actual distance between cities = 345 miles
Step-by-step explanation:
Given that:
Scale on map is
1/2 inch = 30 miles
0.5 inch = 30 miles
Distance between two cities on map = [tex]5\frac{3}{4}[/tex] = [tex]\frac{23}{4}[/tex] = 5.75 inches
Actual distance = x
As the relationship is proportional
0.5 : 30 :: 5.75 : x
Product of mean = Product of extreme
30*5.75 = 0.5x
172.5 = 0.5x
0.5x = 172.5
Dividing both sides by 0.5
[tex]\frac{0.5x}{0.5}=\frac{172.5}{0.5}\\x=345[/tex]
Hence,
The actual distance between cities = 345 miles
