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WorksheetsDirect, Inverse, Joint, Combined
Total questions: 20
Worksheet time: 43mins
Name
Class
Date
1.
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
2.
Determine the type of variation:
a)
Direct
b)
Inverse
c)
Neither
3.
Which of the following represents indirect variation?
a)
y = kx
b)
y = k/x
c)
y = x/k
d)
y = mx + b
4.
If y varies inversely as x and x=5 when y=20, then what is the constant of variation, k?
a)
121
b)
4
c)
100
d)
6
5.
The cost per person to rent a mountain cabin is inversely proportional (varies inversely) to the number of people who share the rent. If the cost is $36 per person when 5 people share, what is the cost per person when 8 people share?
a)
$22.50
b)
$57.60
c)
$1.11
d)
$12.50
6.
Is the given table a direct or inverse variation? What is the constant of variation?
a)
Direct, 12
b)
Inverse, 12
c)
Direct, 1/12
d)
Inverse, 1/12
7.
If y = 15 when x = 32 find y when x = 12.
a)
40
b)
-40
c)
5
d)
-5
8.
Assume y varies inversely with x. If x=7 when y=4, what is y when x=2 ?
a)
4
b)
14
c)
7
d)
28
9.
y varies directly with x.
y is 84 when x is 16. What is the constant of proportionality?
y is 84 when x is 16. What is the constant of proportionality?
a)
y = (21/4)x
b)
k = 21
c)
k = 5.25
d)
k = 4/21
10.
In a direct variation, y = 39 when x = 3.
Find the value of y when x = 2.
Find the value of y when x = 2.
a)
26
b)
3
c)
58.5
d)
2
11.
Which of the following is NOT a direct variation?
a)
y = -2x
b)
y = 1/2x
c)
2x + 3y = 2
d)
3y = 4x
12.
What is the equation for direct variation.
a)
y=kx
b)
y=k
c)
y=kx+b
d)
y=b
13.
A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. Find the amount of pay for 31 hours of work.
a)
$3813
b)
$620
c)
$190.65
d)
$4.96
14.
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
15.
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
16.
The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?
a)
$2
b)
$308
c)
$1.57
d)
$265
17.
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
18.
The equation
w = 10chs represents:
w = 10chs represents:
a)
direct variation
b)
inverse variation
c)
joint variation
d)
none of these
19.
What type of variation does this scenario represent?
The grade you earn in a class
and the number of assignments you complete
and the number of hours you study
The grade you earn in a class
and the number of assignments you complete
and the number of hours you study
a)
direct variation
b)
inverse variation
c)
joint variation
d)
none of these
20.
Suppose y varies jointly as x & z.
If y = -180 when z = 15
and x = -3,
then find y when x = 7 and z = -5.
If y = -180 when z = 15
and x = -3,
then find y when x = 7 and z = -5.
a)
-140
b)
140
c)
-4
d)
4
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