WorksheetsDirect Variation and Slope
Total questions: 40
Worksheet time: 55mins
Name
Class
Date
1.
y varies directly with x, and 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
2.
Write an equation for this relationship.
a)
y=4x
b)
y=1/8x
c)
y=1/4x
d)
y=8x
3.
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
4.
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
5.
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
6.
Is this a direct variation?
y=2x
y=2x
a)
yes
b)
no
7.
Does the relationship represent direct variation?
a)
Yes
b)
No
8.
Write the equation for the table given.
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
9.
Find the unit rate: $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?
a)
$1.00 per pound
b)
$3.60 per pound
c)
$1.20 per pound
d)
$1.10 per pound
10.
Is this table proportional?
a)
Yes
b)
No
11.
What is the constant of proportionality?
a)
8
b)
16
c)
24
d)
2
12.
Is this proportional?
y=2x
y=2x
a)
yes
b)
no
13.
Is this proportional?
a)
yes
b)
no
14.
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
15.
y varies directly with x, and y is 16 when x is 32. Which equation represents this situation?
a)
y=32x
b)
y=16x
c)
y=2x
d)
y=(1/2)x
16.
Which graph shows a proportional relationship between x and y?
a)
A
b)
B
c)
C
d)
D
17.
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
18.
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
19.
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
20.
y varies directly with x. When y = 39, x = 3. Find the value of y when x = 2.
a)
26
b)
3
c)
58.5
d)
2
21.
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
22.
What ordered pair does a direct variation always go through when graphed?
a)
(0, 0)
b)
(1, 0)
c)
(0, 1)
d)
(1, 1)
23.
What is the constant of proportionality?
a)
8
b)
16
c)
24
d)
2
24.
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
25.
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
26.
y varies directly with x, and y is 16 when x is 32. Which equation represents this situation?
a)
y=32x
b)
y=16x
c)
y=2x
d)
y=(1/2)x
27.
Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. What is the constant of variation?
a)
k = 10
b)
k = 2
c)
k = 5
d)
k = 1/5
28.
Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. If he counted four seconds between the next flash of lightning and thunder, about how far away was the lightning?
a)
40 miles
b)
4/5 miles
c)
8 miles
d)
20 miles
29.
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
30.
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
31.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
32.
Find the slope of the line that passes through
(10, 1) and (5, 2)
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
33.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
34.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
35.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
36.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
37.
Which of the following are ways to find the rate of change?
a)
change in y over change in x
b)
rise over run
c)
subtract y coordinates over subtract x coordinates
d)
all of the above
38.
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?
a)
200
b)
150
c)
300
d)
75
39.
At 0 seconds, Mrs. Taylor was 10 feet off the ground. At 5 seconds, she was 20 feet off the ground. What is her rate in feet per second?
a)
10 feet per second
b)
5 feet per second
c)
2 feet per second
d)
6 feet per second
40.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
100 %
