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Direct Variation

Total questions: 16

Worksheet time: 44mins

Name
Class
Date
1.
In a direct variation, y=39 when x=3.  Find the value of y when x=2.
a)
26
b)
3
c)
58.5
d)
2
2.
 y varies directly with x, and y is 16 when x is 32. Which equation represents this situation?
a)
y=32x
b)
y=16x
c)
y=2x
d)
y=(1/2)x
3.
In a direct variation, y = 39 when x = 3. 
Find the value of y when x = 2.
a)
26
b)
3
c)
58.5
d)
2
4.
The value of y varies directly with x.  Which function represents the relationship between x and y if y = 14 when x = 6. 
a)
y=20x
b)
y=84x
c)
y=7/3x
d)
y=3/7x
5.
If x and y vary directly, what is the missing value in the points (x, 4) and (-14, -8)?
a)
x = -7
b)
x = -2.3
c)
x = 2.3
d)
x = 7
6.
Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. What is the constant of variation?
a)
k = 10
b)
k = 2
c)
k = 5
d)
k = 1/5
7.
Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. What is the equation of variation?
a)
y = 10x
b)
y = 2x
c)
y = 5x
d)
y = 1/5x
8.
At top speed, a rabbit can cover 7 miles in 12 minutes. What is the constant of variation?
a)
k = 7
b)
k = 12
c)
k = 12/7
d)
k = 7/12
9.
At top speed, a rabbit can cover 7 miles in 12 minutes. What is the equation of variation?
a)
y = 7x
b)
y = 12x
c)
y = 12/7x
d)
y = 7/12x
10.
A dishwasher uses 65 gallons of water to wash 5 loads of dishes. What is the constant of variation?
a)
k = 13
b)
k = 65
c)
k = 5
d)
k = 1/13
11.
A dishwasher uses 65 gallons of water to wash 5 loads of dishes. What is the equation of variation?
a)
y = 13x
b)
y = 65x
c)
y = 5x
d)
y = 1/13x
12.
If y vaires directly with x and y= 12 when x= 15. What is the value of x when y= 16?
a)
12.8
b)
20
c)
11.25
d)
19
13.
A dishwasher uses 65 gallons of water to wash 5 loads of dishes. How many gallons of water would be used to wash 12 loads? 
a)
60 gallons
b)
780 gallons
c)
156 gallons
d)
12/13 gallons
14.
What does the Direct Variation Equation look like?
a)
Y= kx
b)
y = mx + b
c)
y = b
d)
y = x
15.
The value of y varies directly with x.  Which function represents the relationship between x and y if y = 14 when x = 6. 
a)
y=20x
b)
y=84x
c)
y=7/3x
d)
y=3/7x
16.
If x and y vary directly, what is the missing value in the points (x, 4) and (-14, -8)?
a)
x = -7
b)
x = -2.3
c)
x = 2.3
d)
x = 7