We can use proportions to solve this problem. If 2 inches represent 75 miles, then we can set up a proportion:
2 inches / 75 miles = x inches / 11 miles
To solve for x, we can cross-multiply:
2 inches * 11 miles = 75 miles * x inches
22 inches = 75 miles * x inches
Divide both sides by 75 miles:
22 inches / 75 miles = x inches
Simplify:
0.2933 inches = x inches
Therefore, 11 miles on the map would be represented by approximately 0.2933 inches.