Answer:
[tex]105km[/tex]
Step-by-step explanation:
It is given that; ([tex]2.5cm : 15km[/tex]) is the proportion by which distances are scaled down on a map. One can use this to make a proportion and solve to find how many ([tex]km[/tex]) would represent ([tex]17.5cm[/tex]). ([tex]x[/tex]) will represent the unknown or the number of ([tex]km[/tex]) that one has to solve for.
[tex]2.5 : 15 = 17.5 : x[/tex]
Cross products,
[tex]262.5 = 2.5x[/tex]
Inverse operations,
[tex]262.5 = 2.5x\\/2.5\\\\105 = x[/tex]
