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# 4.6 Model Direct Variation

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Author: Annie D
##### Description:

This packet is aimed at helping understand lesson 4.6 and how to model and graph direct variation.

This packet includes some notes and examples of direct variation. There are also some problems and answers to try yourself.

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Tutorial

## 4.6 Example Problems

Here are some problems to try:

1. State whether the following equations show direct variation:

Y=56x+0            Y=10x-1

Y=X                   Y=5x

2. The variables x and y vary directly. When x=12 and y= 3...

a. write an equation relating x and y

b. FInd the value, using the equation in a, of y when x=24

3. What is the slope of the equation Y=5/6x ?

1.    Y=56x+0 shows direct variation because it says that this line intercepts at the orgin, (0) on the y axis, meaning that it varies directly

Y=10x-1 doesn't vary directly because the y intercept is -1, not 0

Y=X does vary directly because it doesn't have another number added meaning that it could be written as Y=X+0 making the y intercept 0

Y=5x does vary directly because it doesn't have another number added meaning that it could be written as Y=5X+0 making the y intercept 0

2. a. y=1/4x

b. y= 6

3. the slope is 5/6