Find the constant
Write Direct Variation Equation Given y and x
Given Direct Variation Equation, Find x or y
Is it Direct?
Questions/Definitions
100

y=3x What is the constant of variation?

3

100
y=6 and x=3. Write the direct variation equation.
y=2x
100
If y=2x and x=4, what is y?
8
100
Is the following a direct variation function? y=5x
yes
100

Can you have addition or subtraction in a direct variation equation?

no

200

y= 1/2 x

What is the constant of variation?

1/2

200
y=42 and x=6. Write the direct variation equation.
y=7x
200
If y=.3x and x=10, what is y?
3
200

Is the following a direct variation function? y= 4x+3

no

200

Can you have division in a direct variation equation?

yes
300

y=4, and x=2 What is the constant of variation?

2

300
y=256 and x=4. Write the direct variation equation.
y=64x
300
If y=4x and y=8, what is x?
2
300

Is the following a direct variation function? y= -5x

yes

300

How can you tell if something is a direct variation simply by looking at a picture of a graph? (Name the two things you're looking for)

it's a straight line and it crosses through (0,0)

400

y=100, and x=5 What is the constant of variation?

20

400
y=500 and x=25. Write the direct variation equation.
y=20x
400
If y=.5x and y=6, what is x?
12
400

Is the following a direct variation function?  .56y = 4738x

yes

400

In a distance over time graph, what does a horizontal line represent?

being stopped

500

y=3, and x=12 What is the constant of variation?

1/4

500
y=1/4 and x=1/8. Write the direct variation equation.
y=2x
500
If y=(1/3)x and y=3, what is x?
9
500

Is the following a direct variation function? y=x/3

yes

500

In a speed over time graph, what does a horizontal line represent?

speed is constant

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