Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.8 - Modeling Using Variation - Exercise Set - Page 424: 32

Answer

The chronological age of the person is 50.  

Work Step by Step

We have to calculate the value of the constant $k$ for $m=25$ and $c=20$. Therefore, $\begin{align} & i=\frac{km}{c} \\ & 125=\frac{k\left( 25 \right)}{20} \\ & k\left( 25 \right)=125\left( 20 \right) \\ & k=\frac{2500}{25} \end{align}$ Thus, $k=100$ Now we can write this expression by using the value of the constant as $i=\frac{100m}{c}$. Now according to the question, $i=80$ and $m=40$ $\begin{align} & 80=\frac{100\left( 40 \right)}{c} \\ & c=\frac{4000}{80} \\ & c=50 \end{align}$ Thus, the chronological age of the person is 50.
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