Direct Variation Mastery Check
What is the constant of variation in the equation?
y = 3x
 y
 9
 x
 3
What is the constant of proportionality in the table?
x
y
 2
 1
 4
 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 situation: 
Marcus drove 90 miles in two hours.
 y = 2x
 y = 90x
 y = 45x
 y = 180x
Which graphrepresents adirect variation?
a)
c)
b)
d)
What is the constant of proportionality for the data table?
x
y
 3 
2
3/2
 2/3
  2
  3
 6
4
6
9
8
12
10
15
Which table represents a  direct variation (proportional relationship)?
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 equation is a direct variation?
  y = 1/7x
  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
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