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Direct Variation  Concept
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
We often use the term direct variation to describe a form of dependence of one variable on another. An equation that makes a line and crosses the origin is a form of direct variation, where the magnitude of x increases or decreases directly as y increases or decreases. Direct variation and inverse variation are used often in science when modeling activity, such as speed or velocity.
There's a special kind of relationship in math that's called Direct Variation. We say that two vari two variables very directly if they fit this equation y=kx. Where we call the k the constant of variation.
Pretty much what this means is that you have an equation that passes through the point 00 and here's why I tell you that. Remember you guys are already familiar with y=mx+b, this is really really similar the only thing is I'm taking away the b or making into 0. Instead of the letter m I'm using the letter k.
Direct variation is just a slight completely different version of what you guys already know about y=mx+b equations. So when you're doing these kinds of problems keep in mind that your y intercept is always going to be 0. You can also keep in mind that these lines will contain the point 00. So if ever you're asked to write an equation or to interpret the slope or something or like like that you can use the point 00 along with either your slope intercept form of an equation or your point slope form.
So before you guys try these problems couple of things to keep in mind just to remind or just to keep in the back of your head direct variation equations always look like y equals some number times x. And they're just like y=mx+b equations only instead of m you're calling that value k, and your b value is always going to be 0.
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Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
You seem so kind, it's awesome. Easier to learn from people who seem to be rooting for ya!' thanks”
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Sample Problems (5)
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Direct Variation
Problem 1 7,849 viewsIf y varies directly with x and the value of y is 22 when the value of x is 2, find y when x = 5.

Direct Variation
Problem 2 4,701 viewsA biker's distance traveled on flat terrain varies directly with its traveling time. If the biker has gone 90 miles after 2½ hours, how long will it take him to go 306 miles?

Direct Variation
Problem 3 205 views 
Direct Variation
Problem 4 208 views 
Direct Variation
Problem 5 189 views
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