Home
#### Algebra and Pre-Algebra Lessons

Algebra 1 | Pre-Algebra | Practice Tests | Algebra Readiness Test
#### Algebra E-Course and Homework Information

Algebra E-course Info | Log In to Algebra E-course | Homework Calculator
#### Formulas and Cheat Sheets

Formulas | Algebra Cheat Sheets

Home » Graphing Equations » Rate of Change

# Rate of Change

Connecting Slope to Real Life

## Finding Slope Given Two Points

## Make Sure...

## Real Life Problems

### Take a look at the questions that other students have submitted:

## Other Lessons You Might Like on Graphing Equations

# Like This Page?

Connecting Slope to Real Life

Why do we need to find the slope of a line?

The slope of a line tells us how something changes over time. If we find the slope we can find the **rate of change** over that period.

Take a look at the following graph.

This graph shows how John's savings account balance has changed over the course of a year. We can see that he opened his account with $300 and by the end of the first month he had saved $100. By the end of the 12 month time span, John had $1500 in his savings account.

John may want to analyze his finances a little more and figure out about how much he was saving per month. This is called the **rate of change** per month.

By finding the slope of the line, we would be calculating the rate of change.

We can't count the rise over the run like we did in the calculating slope lesson because our units on the x and y axis are not the same. In most real life problems, your units will not be the same on the x and y axis. So, we need another method!

We will need to use a formula for finding slope given two points.

that you really understand how to find the slope given two points! You will have trouble with real world problems if you don't understand this very important concept. If you need extra help, check out the Algebra Class E-course. You will find more examples on video with a lot of practice problems.

Now, let's look at a few real life problems.

Let's go back and look at John's Savings Account graph again.

If you are having trouble figuring out this formula, watch the video for example #2 above.

If you want to see this example on video, click here to visit my You Tube channel.

Let's look at another example.

And... one last example.

The three examples above demonstrated three different ways that a rate of change problem may be presented. Just remember, that rate of change is a way of asking for the slope in a real world problem.

Real life problems are a little more challenging, but hopefully you now have a better understanding.

Click here for a quick reference page that can be used when solving problems related to slope.

Click here to try a few practice problems on your own.

Graphing Equations Unit

Sign Up for Algebra Class E-courses

Click here to retrieve a lost password.

Custom Search

Most Popular Pages

*"I'd like to start off by relaying my sincerest gratitude for your dedication in teaching algebra. Your methodology is by far the simplest to follow, primarily because you take the time to include the small steps in between that most other teachers leave out.*

*It helps to know why you are doing something. I am 45 and heading to college to get my BS in Business. I need to brush up, hence the visit to your site. Great Job!"*

Jimmy - United States

*"I stumbled onto your site after I found out that I needed to use some fundamental algebra for an assignment. Turns out I had forgotten some things and your great site helped me remember them like "that" (snap of fingers). The organization of the site let me find exactly what I was looking for so easily. Kudos to you for maintaining such a great resource for students of all ages!"*

Tom - United States

*"I just wanted to write and basically thank you for making such a wonderful website! I'm 20 years old and about to take a basic placement test for college. I wanted to brush up on my Algebra skills and I stumbled upon your site. I'm amazed at how simple you make it and how fast I'm remembering Algebra! I don't remember getting most of the answers right when I had an actual teacher in front of me teaching this. Thanks a lot!"*

Elizabeth - United States

*"I am a pensioner living in South Africa. I stumbled on your website, the best thing that could ever happen to me! Your course in Algebra has helped me a lot to better understand the different concepts. Thank you very much for sharing your skills for teaching math to even people like me. Please do not stop, as I am sure that your teachings have helped thousands of people like me all over the world."*

Noel - South Africa

*This is an amazing program. In one weekend I used it to teach my Grade 9 daughter most of the introductory topics in Linear Relations. I took her up to Rate of Change and now she can do her homework by herself.*

Reg - United States

- FREE Solving Equations E-course
- Algebra Class E-course
- Algebra Class Products
- Algebra Practice Test
- Algebra Readiness Test
- Homework Answer Calculator
- Practice Worksheets

- Site Map
- Pre-algebra Refresher
- Solving Equations
- Graphing Equations
- Writing Equations
- Systems of Equations
- Inequalities
- Functions
- Exponents & Monomials
- Polynomials
- Quadratic Equations
- Algebra 1 Final Exam

? ## Subscribe To This Site

Then why not use the button below, to add us to your favorite bookmarking service?

Copyright © 2009-2014 Karin Hutchinson ALL RIGHTS RESERVED

## Comments

We would love to hear what you have to say about this page!