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Section 5 - Direct Variation

Page history last edited by PBworks 16 years, 1 month ago

 

CHAPTER 5-5 DIRECT VARIATIONS.

 

Direct Variartion- y=kx where k doesn't equal 0, when two variable quantities have a constant unchanged ratio,

 

The constant of variation-k is the coefficient of x.

 

 

 

 ex. Is each equation a direct variation?  Check by solving for y.

 

5x+2y=9

2y=9-5x

y=9/2- 5/2x.

 

NO, it's not a direct variation because the equation cannot be written in the form of y=kx.

 

 

ex.

For the table, use the ratio y/x to tell wheter y varies directly with x.

 

    X                        Y                        y/x

1 2 2
3 4 1.33
5 6 1.2

 

 

No because y doesn't vary directly with x, so it is not a direct variation.

 

 

 

ex. write an equation of the direct variation that includes the given point.

(35,7)

 

y=kx - Begin with the function form of a direct variation.

 

7=k(35) - Plug your x and y into the equation.

 

7/35=k - Divide each side by 35 to solve for the k.

 

y=7/35 - Write an equation.Substitue 7/35 for k in y=kx

 

 

                     <------------EVEN HE CAN DO IT!!!!!!!!!!!!!!!

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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