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Direct & Partial Variation. Ryan Duffy. 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. - PowerPoint PPT Presentation
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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
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
*y=mx and y=mx+b *YY is the unknown value *MM is the slope or how much the line increases *BB is the Y-intercept *XX is the value on the X-axis
y=mxM: is the constant of variation
y=mx+bM: is the constant of variationB: is the fixed cost
Direct Direct VariationVariation
Partial Partial VariationVariation
straight line straight line
constant of variation constant of variation
no fixed cost fixed cost
x and y values x and y values
starts at origin starts anywhere but origin
y=mx y=mx+b
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.
Hours Money Earned
0 0
1 24.00
2 48.00
3 72.00
4 96.00
5 120.00
6 144.00
The relation for Bubba's graph displays the relationship betweenhis hours worked and his wages. We can say that his wages varydirectly with the hours worked. This type of relation is known as adirect variation.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
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.Hours Money
Earned
0 9.00
1 36.00
2 63.00
3 90.00
4 117.00
5 144.00
6 171.00
The relation for Bubba's graph displays the new relationshipbetween his hours worked and his wages with a fixed daily wage.We can say that his wages vary partially with the hours worked.This type of relation is known as a partial variation.
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
