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WorksheetsDirect and Inverse variation A.8
Total questions: 25
Worksheet time: 18mins
Name
Class
Date
1.
What type of relationship is a direct variation.
a)
proportional
b)
non-proportional
2.
Is the relationship in the table a direct variation?
a)
Yes
b)
No
3.
Which of the following is the equation format for direct variation?
a)
y = mx + b
b)
y = kx
c)
k = xy
4.
Is the relationship in the table a direct variation?
a)
Yes
b)
No
5.
Does the graph show a direct variation?
a)
Yes
b)
No
6.
Does the given graph show a direct variation?
a)
Yes
b)
No
7.
Does the given graph show a direct variation?
a)
Yes
b)
No
8.
a)
direct variation
b)
inverse variation
c)
neither direct nor inverse variation
9.
a)
direct variation
b)
inverse variation
c)
joint variation
d)
none of these
10.
Suppose y varies inversely with x.
If y = 150 when x = 2, find y when x = 25.
If y = 150 when x = 2, find y when x = 25.
a)
300
b)
75
c)
1,875
d)
12
11.
Suppose y varies directly as x.
If y = 22.5 when x = 15, find y when x = 20.
If y = 22.5 when x = 15, find y when x = 20.
a)
1.5
b)
337.5
c)
30
d)
16.875
12.
Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?
a)
y=1344x
b)
y=100x
c)
y=5.25x
d)
y=4/21x
13.
The interest received on a savings account varies directly with the amount deposited. Daniel received $55.35 in interest on $1230 he deposited. How much interest would Daniel have received if he had deposited $2000 into his account?
a)
34.04
b)
90.00
c)
1,285.35
d)
44,444.44
14.
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
15.
The width of a rectangle varies inversely with its length. If the width is 6 when the length is 24, give an equation that shows the relationship.
a)
y = 4x
b)
y = 144x
c)
y = 4/x
d)
y = 144/x
16.
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
17.
Is the given table a direct variation? If so, what is the constant of variation?
a)
Yes; 1/3
b)
Yes; 3
c)
Yes; 5
d)
No
18.
Which of the given graphs is a direct variation?
a)
A
b)
B
c)
C
d)
D
19.
Determine the type of variation:
a)
Direct
b)
Inverse
c)
Neither
20.
What ordered pair does a direct variation always go through when graphed?
a)
(0, 0)
b)
(1, 0)
c)
(0, 1)
d)
(1, 1)
21.
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. What is the constant of variation?
a)
k = 123
b)
k = 20
c)
k = 6.15
d)
k = 0.16
22.
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
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
24.
The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h?
a)
5.33 hours
b)
6.75 hours
c)
12 hours
d)
10 hours
25.
The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours?
a)
8 painters
b)
10 painters
c)
9 painters
d)
11 painters
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