Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2 - Page 364: 111

Answer

an alligator with body length of 6 feet has tail length of 5.4 feet.

Work Step by Step

Consider the proportional relation between the alligator’s tail length and the body length. Because, the alligator with a body length of 4 feet has 3.6 feet tail length. So, the alligator with a body length of 1 foot will have $\frac{3.6}{4}\ \text{feet}$ tail length. This shows that the alligator with a body length of 6 feet has $\left( \frac{3.6}{4}\times 6 \right)\ \text{feet}$ tail length. It is solved as, $\begin{align} & T=\frac{3.6}{4}\times 6 \\ & =5.4\ \text{feet} \end{align}$ Hence,an alligator with body length of 6 feet has tail length of 5.4 feet.
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