Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 2 - Solving Equations - 2-8 Proportions and Similar Figures - Lesson Check: 5

Answer

No; the units are different

Work Step by Step

The scale given, 1 in : 100 mi, represents a ratio with different units. The actual distance would be 100 times the map distance if the entire scale was in inches. However, since it is inches to miles, we would convert the 100 mi into inches to find how much larger the distance really is. This is where unit conversions come into play: $\frac{\text{100$\require{cancel}\cancel{mi}$}}{\text{1}}$$\times$$\frac{\text{5280$\require{cancel}\cancel{ft}$}}{\text{1$\require{cancel}\cancel{mi}$}}$$\times$$\frac{\text{12 in}}{\text{1$\require{cancel}\cancel{ft}$}}$=$6,336,000$ $in$ The actual distance, in inches, is 6,336,000 times larger than the map distance.
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