WorksheetsDirect Variation
Total questions: 20
Worksheet time: 13mins
Name
Class
Date
1.
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
2.
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
3.
Is this a direct variation?
y=2x
y=2x
a)
yes
b)
no
4.
Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?
a)
$394
b)
$440
c)
$472.80
d)
$512.20
5.
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
6.
Write an equation for this relationship.
a)
y=4x
b)
y=1/8x
c)
y=1/4x
d)
y=8x
7.
Which of the given graphs is a direct variation?
a)
A
b)
B
c)
C
d)
D
8.
Write an equation for this situation.
a)
y=9.75x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
9.
Is this proportional?
a)
yes
b)
no
10.
Write the equation for the table given.
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
11.
The number of kilograms of water in a person’s body varies directly as the person’s mass. A person with a mass of 90 kg contains 60 kg of water. How many kilograms of water are in a person whose mass is 75 kg?
a)
50 kg water
b)
72 kg water
c)
94 kg water
d)
150 kg water
12.
What is the constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
13.
On a treasure map, the actual distance is directly related to the scaled distance. If 15 miles is represented by 3 centimeters, then how many centimeters on the treasure map are equivalent to 135 miles?
a)
27 cm
b)
675 cm
c)
529 cm
d)
32 cm
14.
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
15.
What is the slope?
a)
$2/1 mile drive
b)
$1/2 miles driven
c)
2 miles driven/$1
d)
1 mile driven/$2
16.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
17.
What does the Direct Variation Equation look like?
a)
y= kx
b)
y = mx + b
c)
y = b
d)
y = x
18.
A tutoring job pays $222 for ten hours of work. If a tutor were to work for a total of thirty-five hours that week, how much will they make?
a)
$1.58
b)
$777
c)
$2
d)
$685
19.
What is the constant of proportionality?
a)
8
b)
16
c)
24
d)
2
20.
Is this proportional?
y = 7x + 3
y = 7x + 3
a)
yes
b)
no
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