Definitions of the Day (DODs)

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Presentation transcript:

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

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)

1 24 2 48 3 72 4 96 5 120 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. X Values Number of Seconds Y Values Number of Frames 1 24 2 48 3 72 4 96 5 120 Constant of Variation: Rate Of Change: Slope:

Deside which of the following are graphs of Direct Variation 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

Remember Direct Variation must be in the form 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

For each table, tell whether y varies directly with x For each table, tell whether y varies directly with x. If it does, write a function rule for the relationship shown by the data. X Y Y/X -3 2.25 1 -0.75 4 X Y Y/X 2 -1 4 1 6 3

Decide the direct variation for each part Your Turn! Decide the direct variation for each part X Y 3 5.4 7 12.6 12 21.6

The graph of ___________ will always pass through the ______________. 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.