Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1 - Linear Functions - 1.4 Intercepts and Graphing - 1.4 Exercises - Page 63: 64

Answer

Refer to the graph below.
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Work Step by Step

Recall: (1) The $x$-intercept of a linear equation can be found by setting $y=0$ then solving for $x$. (2) The $y$-intercept of a linear equation can be found by setting $x=0$ then solving for $y$. Find the $x$-intercept by setting $y=0$ to obtain: \begin{align*} 0&=-0.002x+14\\\\ -14&=-0.002x\\\\ \frac{-14}{-0.002}&=\frac{-0.002x}{-0.002}\\\\ 7000&=x\\ \end{align*} Thus, the $x$-intercept is $(7000, 0)$. Find the $y$-intercept by setting $x=0$ to obtain: \begin{align*} y&=-0.002(0)+14\\ y&=14\\ \end{align*} Thus, the $y$-intercept is $(0, 14)$. Plot the intercepts and connect them using a straight line. Refer to the graph above.
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