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Direct Variation Quick Check
What is the constant of variation in the 
following equation?
y = 3x
 y
 9
 x
 3
What is the constant of proportionality 
in the table above?
x
y
 4
 1
 2
 ¼
4
1
8
2
12
3
16
4
20
5
No, because it's linear
No, because it doesn'tpass through through the origin.
Yes, because it's linear
 Yes, because it passes 
through the origin.
Does this graph 
represent direct 
variation? Explain.
If the constant of variability is 8 and y=24, 
what is the value of x?
 2
192
 3
16
Write an equation for the following situation: 
Marcus drove 90 miles in two hours.
 y = 2x
 y = 90x
 y = 45x
 y = 180x
Which of the
graphs
represents a
direct variation?
a)
c)
b)
d)
What is the unit rate for the above data table?
x
y
 3 
2
1.5
 2
  3
  4
 6
4
6
9
8
12
10
15
Which of the following tables represents a  direct variation (proportional)?
a)
b)
y
y
x
x
 2
8
1

3

16
4
2
4
 24
3

5

6
c)
d)
x
y
x
y
10
0
2
-4
2
4
0
0
 8
4
8
4
Which of the following equations is a direct variation?
  y = 7x
  y = 3x - 1
  y = 5 
 2x -5y = 10
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Write an equation to 
represent this graph.
x = 2y 
x = 4y
y = x
y = 2x
Students who took this test also took :
4.6 Direct Variation
8-1 through 8-3 review
Volume of Prisms
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