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 425: 47

Answer

The graphs are shown below:
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Work Step by Step

Use the steps given below: Step 1: Press the $\left[ Y= \right]$ key. Step 2: Enter the equations in ${{Y}_{1}}\,,{{Y}_{2}},\,\text{ and }\,{{Y}_{3}}$ , where ${{\text{Y}}_{\text{1}}}=kx,\,{{\text{Y}}_{2}}=\frac{k}{{{x}^{2}}},\,\text{ and }\,{{Y}_{3}}=k{{x}^{2}}.$ Step 3: Press $\left[ WINDOW \right]$ key. Step 4: Enter a number in $TblStart$ and then press $\left[ ENTER \right]$. Step 5: Enter a number in $\Delta \text{Tbl}$ and then press $\left[ ENTER \right].$ Step 6: Set the mode for Independent and Depend. Step 7: Press $\left[ GRAPH \right]$ key to display the table. (a) The solution of the provided equation $T=kB$ is $5.4\text{ft}$ because at $k=0.9,$ we get $5.4\text{ft}$ as the tail length of an alligator whose body length is $\text{6 ft}$. (b) The solution of the provided equation $I=\frac{k}{{{a}^{2}}}$ is $2.4\text{ft}$ because at $k=6000,$ we get $2.4\text{ft}$ as the illumination when the distance is $50\ \text{ft}$. (c) The solution of the provided equation $N=k{{d}^{2}}$ is $450$ because at $k=0.5,$ we get $450$ as houses that can be served by a water pipe that has a $30\text{cm}$ diameter.
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