Major Quiz #3 Direct/Inverse Variation 2013­2014
INSTRUCTIONS:
Any question that you can write an equation for you will earn extra points.
Simply write the equation next to the answer on your answer document.
Some questions (c) 2012 by STAAR Test Maker.
Some questions (c) 2012 by Region 10 Educational Service Center.
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1
Julio's wages vary directly as the number of hours that he works. If his wages for 5 hours
are $39.25, how much will he earn for 30 hours?
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value.
2 If x varies directly as y, and x = 8 when y = 24, what is the value of x when y = 6?
F
1
G
2
H 3
J
3
4
If y varies directly as x, and y = 8 when x = 3, what is the value of y when x = 9?
A
B
C
14
D 24
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4 Given that (4,1) and (2,2) satisfy an
inverse variation function, find k (the
constant of variation).
6 p varies inversely as q. If p = 2/3 when
q = 3. What is p when q = 1/3?
F
F
G
G
H
H
J
5
J
not enough information to find k.
Given that y = f(x) is a function where y
varies inversely as x and that (10,4)
satisfies the function, which of the
following would also satisfy it?
7
Given that the graph shown below is
either a direct variation or an indirect
variation, what is its equation?
I. (5,12)
II. (2,20)
III. (1,40)
A I only
A
B II only
C
I and III
D II and III
B
C
D
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8 Which of the following graphs is a model
of inverse variation with a domain of x >
0?
F
G
H
J
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9 In which table below does y vary inversely as x?
A
B
C
D
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10
Assume that y varies inversely as x. If y is 2.4 when x = 5, which is an equation that
relates x and y?
F
G
= y = + 2.2
H xy = 12
J
11
y = 7.4 − x
The time (in hours) it takes for a certain house to be painted varies inversely as the
number of workers doing the painting. In this scenario, what does the constant of variation
represent?
A The number of houses one worker would paint in an hour
B The number of workers it takes to paint the house completely
C
The portion of the house painted by one worker in one hour
D The number of hours it takes one worker to paint the house
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12
The table below contains values of two variables, x and y, that were recorded during an
experiment.
Given that y varies inversely as x, which of the following is likely the closest to the
constant of variation?
F
11
G
12
H 13
J
13
14
If x and y vary directly, and y = 32 when x = 4, what is the value of y when x = 5?
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value.
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14
Which table represents direct variation?
F
G
H
J
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BE SURE YOU HAVE RECORDED ALL OF YOUR ANSWERS
ON YOUR ANSWER DOCUMENT
STOP