Skip Nav

Welcome to Free Math Help

You must create an account to continue watching

❶We may require you to supply us with personal identifying information, and we may also legally consult other sources to obtain information about you. All revisions must be based on the original order instructions.

Definition

Direct and Inverse Variation Algebra 1 Curriculum - Mini Unit This bundle contains notes, homework assignments, and a test that cover the following topics: Please download the preview to see samples of the pages!

Now you can easily make multiple versions or customize to fit your needs! If your Equation Editor is incompatible with mine, simply delete my equation and insert your own. This resource is included in the following bundle s: This purchase includes a license for one teacher only for personal use in their classroom.

Licenses are non-transferable , meaning they can not be passed from one teacher to another. Finally, you can represent how your savings grow by using a graph. To make the graph, we can plot some of the points from the table and connect them.

Notice how the graph is a line; this is because direct variation is a linear equation. Get access risk-free for 30 days, just create an account.

We can also use direct variation to find out how far you will go if you travel at a certain speed. Again, 60 would be your constant variation, so if you travel for three hours at the constant speed of 60 km per hour, then you will travel:. As we did previously, we can also describe distance traveled with a table. As in the previous example, the table will contain the entry 0, 0.

Similarly, we can sketch a graph by plotting the points from the table. Hours will go on the x-axis, and distance will go on the y-axis. Notice that this graph passes through the origin 0, 0 , and is a line. This type of equation notation can be used for any direct variation equation where x is the input value, such as number of hours or number of weeks. The variable k is the constant of variation, such as the amount of money saved weekly, or speed in kilometers per hour.

The variable y is the output variable, which in our examples were total amount saved and total distance traveled. Notice how this equation has two quantities that are multiplied to give a third quantity, and that nothing is added or subtracted.

Direct variation - when two quantities, such as time and distance, or hours and pay, increase or decrease at a consistent rate. To unlock this lesson you must be a Study. Did you know… We have over college courses that prepare you to earn credit by exam that is accepted by over 1, colleges and universities. You can test out of the first two years of college and save thousands off your degree.

Anyone can earn credit-by-exam regardless of age or education level. To learn more, visit our Earning Credit Page. Not sure what college you want to attend yet? The videos on Study. Students in online learning conditions performed better than those receiving face-to-face instruction.

By creating an account, you agree to Study. Explore over 4, video courses. Find a degree that fits your goals. Both are examples of direct variation. Learn more about direct variation in this lesson. Try it risk-free for 30 days. An error occurred trying to load this video. Try refreshing the page, or contact customer support. You must create an account to continue watching. Register to view this lesson Are you a student or a teacher? I am a student I am a teacher. What teachers are saying about Study.

Are you still watching? Your next lesson will play in 10 seconds. Add to Add to Add to. Want to watch this again later? Solving Equations of Inverse Variation. Solving Equations of Direct Variation. Direct and Inverse Variation Problems: How to Define a Zero and Negative Exponent. Simplifying Expressions with Rational Exponents. Definition, Properties, and Proof Theorems. Using Tables and Graphs in the Real World.

Strategies to Prevent Intentional Injuries. Harmonic Series in Math: High School Physical Science: Prentice Hall Algebra 1: What is the relationship between the distance a car travels when cruise control is activated and the amount of money you have in the bank when you save regularly?

Definition There are so many quantities that can increase at a consistent rate. We can with an equation: To solve the direct variation equation, we substitute in the values: Thus, the first table entry is 0, 0.

This will be true in every direct variation table you see. Example of a Graph Finally, you can represent how your savings grow by using a graph. Here are two key things to notice about this graph: Try it risk-free No obligation, cancel anytime.

Drew gets paid hourly at his job. Find K and write an equation to solve this question. This question is actually asking us to find K which is the direct variation formula. Direct Variation Word Problem. Direct variation represented graphically. Notice with direct variation as,.

Today we are going to talk about direct variation, and here is an example of what we are looking at. If Y is ten when X is is five what is K Well first of all we need to see a set formula. So here are the rules for direct variation. We will write the formula down. Y equals KX and when Y is ten X is five.

Main Topics

Direct Variation Suppose that Papa’s Pizzeria has a lunch special on pizza, so that one slice sells for \$, 2 slices sell for read more Math Review of Direct and Inverse Variation.

Privacy FAQs

Got a basic understanding of direct variation now? If you still need more help, try searching our website (at the top of the page) for a more specific question, or browse our other algebra lessons. Sometimes it helps to have a subject explained by somebody else (a fresh perspective!) so you may also be interested in another lesson on direct.