Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 3 - Introduction to Graphing - 3.3 Graphing and Intercepts - 3.3 Exercise Set - Page 180: 108

Answer

x-intercept: $(0.04, 0)$ y-intercept: $(0, -0,05)$ Refer to the graph below.
1515632721

Work Step by Step

Find the x-intercept by setting y=0 then solving for x: $25x−20y=1 \\25x−20(0)=1 \\25x=1 \\\dfrac{25x}{25}=\dfrac{1}{25} \\x=0.04$ Thus, the x-intercept is $(0.04, 0)$. Find the y-intercept by setting x=0 then solving for y: $25x−20y=1 \\25(0)−20y=1 \\−20y=1 \\\dfrac{−20y}{−20}=\dfrac{1}{−20} \\y=−0.05$ Thus, the y−intercept is $(0, -0.05)$. Use a graphing utility to graph the equation and verify the intercepts. Since the intercepts involve $0.04$ and $-0.05$, set the scale to $0.05$. This can be done in the calculator by going to the WINDOW menu and setting Xscl to 0.05 and Yscl to 0.05. (Refer to the attached image above for the graph.)
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.