It is given that the scale used in the map is,
[tex]3\text{ in}\equiv50\text{ miles}[/tex]For 9 inches,
[tex]9\text{ inches=3}\times(\text{3 inches)}\equiv\text{3}\times(\text{50 miles)}=150\text{ miles}[/tex]Thus, a distance of 9 inches on the map corresponds to 150 miles in actual.
For 15 inches,
[tex]15\text{ inches=5}\times(\text{3 inches)}\equiv5\times(\text{50 miles)}=250\text{ miles}[/tex]Thus, a distance of 15 inches on the map corresponds to 250 miles in actual.
For 21 inches,
[tex]21\text{ inches=7}\times(\text{3 inches)}\equiv7\times(\text{50 miles)}=350\text{ miles}[/tex]Thus, a distance of 21 inches on the map corresponds to 350 miles in actual.