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Direct Variation in Linear Equations | What is Direct Variation?

Learn the definition of direct variation in linear equations, the constant of variation, and how to identify and graph direct variation relationships. Use a calculator for practical applications.

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Direct Variation in Linear Equations | What is Direct Variation?

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  1. Definitions of the Day (DODs) 5.3 – Direct Variation (Please have a calculator) • Direct Variation • Linear Equation (Review) • Constant Of Variation

  2. Definition: A Direct Variation is a Linear Function that can be written in the form: Definition: The Constant of Variation k; equals the Rate of Change / Slope for the described variation. NOTE! THE GRAPH OF A DIRECT VARIATION WILL ALWAYS PASS THROUGH THE ORIGIN, (0,0)

  3. An Example of Direct Variation: As you watch a movie, 24 individual frames flash on the screen every second! This gives the effect of movement (like a flip book). There are 3 ways we can model the relationship between the number of frames and the number of seconds. Constant of Variation: Rate Of Change: Slope:

  4. Deside which of the following are graphs of Direct Variation. Find the Function rule and Constant of Variation for those graphs that are. 1 2 4 3

  5. Deside if each equation is an equation of Direct Variation. If it is, find the Constant of Variation. Remember Direct Variation must be in the form Y=kx

  6. For each table, tell whether y varies directly with x. If it does, write a function rule for the relationship shown by the data.

  7. Your Turn! Decide the direct variation for each part

  8. Sentence Frames: The graph of ___________ will always pass through the ______________. The _____ represents the Constant of Variation in the equation y = kx. The graph of direct variation is a ____________ function.

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