A map uses scaled drawings. The distance between the two considered cities on that specified map is 6.25 inches
How are scale drawings formed?
For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.
Then it means
[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]
All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.
For this case, it is specified that the map uses scaling such that:
3/4 of an inch on map = 3 miles in reality.
Dividing both the quantities by 3, we get:
1 mile in reality = [tex]\dfrac{3/4}{3}[/tex] inches on map = [tex]\dfrac{1}{4}[/tex] inches on map
Multiplying both the quantities by 25, we get:
25 miles in reality = [tex]\dfrac{25}{4} = 6.25 \: \rm inches[/tex] in map
Since 25 miles is the distance between those two considered cities. Thus, the distance between those two cities on map would be of 6.25 inches.
Learn more about scale factors here :
https://brainly.com/question/8765466
