Applications
| Site: | Clare-Gladwin RESD |
| Course: | Michigan Algebra II KHauck |
| Book: | Applications |
| Printed by: | Guest user |
| Date: | Sunday, 19 May 2024, 12:57 PM |
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.
Step 2. Use the rules for adding rational numbers to solve for x.
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
*Note: If Google Docs displays “Sorry, we were unable to retrieve the document for viewing.†refresh your browser.
Answer Key
*Note: If Google Docs displays “Sorry, we were unable to retrieve the document for viewing.†refresh your browser.
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).