Applications
Site: | Clare-Gladwin RESD |
Course: | Michigan Algebra II KHauck |
Book: | Applications |
Printed by: | Guest user |
Date: | Tuesday, July 16, 2024, 5:29 AM |
Description
Applications
Applications
There are many applications of rational functions. One application uses rationals to determine how much time it will take two people to complete a job if you know how long it will take each one individually.Example Emma can paint the fence in her yard in 6 hours. Cora can paint the same fence in 8 hours. How long will it take for them to paint the fence together?
Step 1. Emma can paint 1/6 of the fence in one hour and Cora can paint 1/8 of the fence in one hour.
Let x represent the total time it will take the two girls to paint the fence. Then, use the following equation to help solve this application.
![RationalApp1-2 RationalApp1-2](https://claregladwinresd.glk12.org/pluginfile.php/937/mod_book/chapter/262/Rational_Functions/Images/RationalApp1-2.png)
Step 2. Use the rules for adding rational numbers to solve for x.
![RationalApp1-3 RationalApp1-3](https://claregladwinresd.glk12.org/pluginfile.php/937/mod_book/chapter/262/Rational_Functions/Images/RationalApp1-3.png)
It will take Emma and Cora 3.43 hours to paint the fence together.
Video Lesson
To learn how to solve applications of rational functions, select the following link:Applications of Rational Functions
Interactive Activity
Applications of RationalsÂPractice
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Answer Key
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Sources
Source used in this book:Embracing Mathematics, Assessment & Technology in High Schools; a Michigan Mathematics & Science Partnership Grant Project
Holt, Rinehart & Winston, "Rational Functions and Equations." http://my.hrw.com/math06_07/nsmedia/homework_help/alg1/alg1_ch12_07_homeworkhelp.html (accessed 8/10/2010).