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WorksheetsPractice quiz: inverse variation and graphing rational functions
Total questions: 23
Worksheet time: 2hrs 35mins
Name
Class
Date
1.
Is the given table a direct variation? If so, what is the constant?
a)
Yes; 1/4
b)
Yes; 4
c)
Yes; 2
d)
No
2.
What is the constant (k) in this inverse variation?
a)
12
b)
24
c)
48
d)
Not enough information given
3.
What is the constant (k) in this inverse variation?
y = 400/x
y = 400/x
a)
x
b)
y
c)
400
d)
Not enough information given
4.
The equation
xy = 25 represents:
xy = 25 represents:
a)
direct variation
b)
inverse variation
c)
joint variation
d)
none of these
5.
Which of the following is NOT a direct variation?
a)
y = -2x
b)
y = 1/2x
c)
2x + 3y = 2
d)
3y = 4x
6.
For direct variation, you ______.
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
7.
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
8.
What kind of equation is this?
xy=8
xy=8
a)
Linear Equation
b)
Direct Variation
c)
Inverse Variation
d)
Joint Variation
9.
Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?
a)
14
b)
10
c)
2
d)
-14
10.
Does the equation show an inverse variation?
y=10/x
y=10/x
a)
yes
b)
no
11.
What is the Vertical Asymptotes?
a)
x= -5
b)
x= 5
c)
x= 6
d)
x= -6
12.
What are the asymptotes?
a)
x = -3 y = 1
b)
x = 3 y = 1
c)
x = -3 y = -1
d)
x = 3 y = -1
13.
What are the asymptotes?
a)
x = -1 y = -3
b)
x = 1 y = -3
c)
x = -1 y = 3
d)
x = 1 y = 3
14.
What is the horizontal asymptote?
a)
x = 2
b)
x = 7
c)
y = 2
d)
y = 7
15.
How is this function transformed from the parent function?
a)
Translated left and up
b)
Translated right and up
c)
Translated left and down
d)
Translated right and down
16.
What are the asymptotes?
a)
x=-2 and y=-1
b)
x=-2 and y=1
c)
x=2 and y=1
d)
x=2 and y = -1
17.
Tell whether x and y show direct variation, inverse variation, or neither.
a)
direct variation
b)
inverse variation
c)
neither
18.
The time it takes to drive to Dallas is inversely proportional to your driving speed. It takes 3 hours to get to Dallas if you drive 60 mph. How long will the trip take if you drive 72 mph?
a)
2.5 hours
b)
2.6 hours
c)
2.8 hours
d)
3.5 hours
e)
3.6 hours
19.
The time that a group of carpenters takes to build a deck is inversely proportional to the number of carpenters. If 3 carpenters can build a deck in 36 working hours, how many carpenters are needed to build a deck in 27 working hours?
a)
2
b)
3
c)
4
d)
5
e)
6
20.
Which of the given graphs is a direct variation?
a)
A
b)
B
c)
C
d)
D
21.
Determine the type of variation:
a)
Direct
b)
Inverse
c)
Neither
22.
The Height of a wave in California varies directly with the seconds that pass by. At 4 seconds, the wave is 6 feet high. How many seconds will give you a wave that is 10 feet high?
a)
y = 2/3x
b)
6
c)
6.6
d)
7
23.
The sales at a baseball game vary directly with the number of people attending. If sales for a game are $12,000 when 800 people attend, determine attendance if sales are $30,000
a)
1200 people
b)
1500 people
c)
2000 people
d)
2400 people
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