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Direct & Partial Variation

This article explores the concepts of direct and partial variation, highlighting the relationships between two variables. In direct variation, one variable is a constant multiple of the other, represented by the equation y = mx, where the graph passes through the origin. In contrast, partial variation includes a constant value, represented by the equation y = mx + b, where the graph does not pass through the origin. Examples involving wages in relation to hours worked illustrate these concepts clearly. This guide provides a comprehensive understanding of how both variations function.

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Direct & Partial Variation

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  1. Direct & Partial Variation Ryan Duffy

  2. Direct Variation A relationship between two variables in which one variable is a constant multiple of the other. When graphing the line DOES pass through the origin. Represented by y=mx form X and Y values vary directly with each other

  3. Partial Variation A relationship between two variables in which one variable is a constant multiple of the other plus a constant value. Graph DOES NOT pass through the origin. Represented by y=mx+b form

  4. What does... y=mx & y=mx+b Mean? *y=mx and y=mx+b *Y is the unknown value *M is the slope or how much the line increases *B is the Y-intercept *X is the value on the X-axis

  5. y=mx & y=mx+b Direct Variation Partial Variation y=mxM: is the constant of variation y=mx+bM: is the constant of variationB: is the fixed cost

  6. Examples

  7. Examples For Direct Variation Bubba earns 24.00$ per hour at his grandfathers donkey farm. Create a table of values that displays the money earned by Bubba in 6 hours. Example #1 Not real graph (example)

  8. The relation for Bubba's graph displays the relationship between his hours worked and his wages. We can say that his wages vary directlywith the hours worked. This type of relation is known as a directvariation. If we examine the formula of his hours worked and his wages, we would get y=24x Therefore this is in the form of y=mx, so it is a Direct Variation

  9. Examples for Partial Variation Example #1 Bubba gets a new job at his uncles lama farm. He now gets paid 9.00$ a day plus 27.00$ per hour create a table of values that displays the money Bubba earns at his new job. Not real graph ( Example)

  10. The relation for Bubba's graph displays the new relationship between his hours worked and his wages with a fixed daily wage. We can say that his wages varypartiallywith the hours worked. This type of relation is known as a partialvariation. If we examine the formula of his hours worked and his wages, we would get y=27x+9 Therefore this is in the form of y=mx+b, which is a Partial Variation

  11. The By Ryan Duffy End

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