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
<span>We use ratio and proportion to solve each of these: </span><span> </span><span>1.
The scale of a map is 1 in = 19.5 mi map: ________ in actual: 9.5 mi </span><span>1 in / 19.5 mi = x in / 9.5 mi, x = 0.487 in </span><span> </span><span>2.
The scale of a map is 7 in = 16 mi map: 4.9 in actual: ______ mi </span><span>7 in / 16 mi = 4.9 in / x mi, x = 11.2 mi </span><span> </span><span>3. The
scale factor for a model is 5 cm = ________ m Model : 72.5 cm actual:
165.3 m </span><span>5 cm / x m = 72.5 cm / 165.3 m, x = 11.4 m </span><span> </span><span>4. The scale of a map is 1 in = 9.6 mi map: ________ in actual:
34.7 mi </span><span>1 in / 9.6 mi = x in / 34.7 mi, x = 3.62 in </span><span> </span><span>5. The scale of a map is 1 ft = 9.6 mi map: ________ ft actual:
38.4 mi </span><span>1 ft / 9.6 mi = x ft / 38.4 mi, x = 4 ft </span><span> </span><span>6. The scale factor for a model is 5 cm = ________ m Model :
22.4 cm actual: 155.2 m </span><span>5 cm / x m = 22.4 cm / 155.2 m, x = 34.64 m </span><span> </span><span>7. The scale of a map is 5 in = 10 mi map: 8.7
in actual: ______ mi </span><span>5 in / 10 mi = 8.7 in / x mi, x = 17.4 mi </span><span> </span><span>8. The scale of a map is 1 in = 13.5 mi map:
________ in actual: 65.9 mi </span><span>1 in / 13.5 mi = x in / 65.9 mi, x = 4.88 in </span><span> </span><span>9. The scale factor for a model is 5 cm =
________ m Model : 61.5 cm actual: 143.2 m </span><span>5 cm / x m = 61.5 / 143.2 m, x = 11.64 m </span><span> </span><span>10. The scale factor for a
model is 5 cm = ________ m Model : 29.7 cm actual: 179.5 m </span><span>5 cm / x m = 29.7 cm / 179.5 m, x = 30.22 m </span>
For this, you need to use the point slope formula, (y-y1)=m(x-x1). The slope, m, would be -1/2 since the line we're looking for is perpendicular (meaning the slope is the negative reciprocal of the original slope). The x1 would be 3, and the y1 would be 1.
