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 363: 106

Answer

the healthy weight of the person with height 6’0” is 178 pounds and the calculated healthy weight is 6 pounds below the upper end of the given range.

Work Step by Step

Consider the equation as follows: $\frac{W}{2}-3H=53$ Now, substitute the value of $H$as 12 and find the value of $W$. $\begin{align} & \frac{W}{2}-3\left( 12 \right)=53 \\ & \frac{W}{2}=53+36 \\ & W=178\ \text{pounds} \end{align}$ Here, the value of H is in inches over 5 feet. Now, subtract the above value of the weight with the upper end of the given range. We obtain: $184-178=6\ \text{pounds}$ This shows that the calculated healthy weight is 6 pounds below the upper end of the given range. Hence, the healthy weight of the person with height 6’0” is 178 pounds and the calculated healthy weight is 6 pounds below the upper end of the given range.
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