1. the scale of a map is 1 in = 19.5 mi map: in actual: 9.5 mi 2. the scale of a map is 7 in = 16 mi map: 4.9 in actual: mi 3. the scale factor for a model is 5 cm = m model : 72.5 cm actual: 165.3 m 4. the scale of a map is 1 in = 9.6 mi map: in actual: 34.7 mi 5. the scale of a map is 1 ft = 9.6 mi map: ft actual: 38.4 mi 6. the scale factor for a model is 5 cm = m model : 22.4 cm actual: 155.2 m 7. the scale of a map is 5 in = 10 mi map: 8.7 in actual: mi 8. the scale of a map is 1 in = 13.5 mi map: in actual: 65.9 mi 9. the scale factor for a model is 5 cm = m model : 61.5 cm actual: 143.2 m 10. the scale factor for a model is 5 cm = m model : 29.7 cm actual: 179.5 m

We use ratio and proportion to solve each of these:

1. The scale of a map is 1 in = 19.5 mi map: in actual: 9.5 mi
1 in / 19.5 mi = x in / 9.5 mi, x = 0.487 in

2. The scale of a map is 7 in = 16 mi map: 4.9 in actual: mi
7 in / 16 mi = 4.9 in / x mi, x = 11.2 mi

3. The scale factor for a model is 5 cm = m Model : 72.5 cm actual: 165.3 m
5 cm / x m = 72.5 cm / 165.3 m, x = 11.4 m

4. The scale of a map is 1 in = 9.6 mi map: in actual: 34.7 mi
1 in / 9.6 mi = x in / 34.7 mi, x = 3.62 in

5. The scale of a map is 1 ft = 9.6 mi map: ft actual: 38.4 mi
1 ft / 9.6 mi = x ft / 38.4 mi, x = 4 ft

6. The scale factor for a model is 5 cm = m Model : 22.4 cm actual: 155.2 m
5 cm / x m = 22.4 cm / 155.2 m, x = 34.64 m

7. The scale of a map is 5 in = 10 mi map: 8.7 in actual: mi
5 in / 10 mi = 8.7 in / x mi, x = 17.4 mi

8. The scale of a map is 1 in = 13.5 mi map: in actual: 65.9 mi
1 in / 13.5 mi = x in / 65.9 mi, x = 4.88 in

9. The scale factor for a model is 5 cm = m Model : 61.5 cm actual: 143.2 m
5 cm / x m = 61.5 / 143.2 m, x = 11.64 m

10. The scale factor for a model is 5 cm = m Model : 29.7 cm actual: 179.5 m
5 cm / x m = 29.7 cm / 179.5 m, x = 30.22 m