Worksheets5.3-5.4 Rate of Change and Direct Variation
Total questions: 35
Worksheet time: 4hrs 39mins
Name
Class
Date
1.
Find the slope:
a)
2
b)
-2
c)
1/2
d)
-1/2
2.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
3.
Find the slope of the line.
a)
1/4
b)
-1/4
c)
-4/1
d)
4/1
4.
Find the rate of change
a)
3
b)
-3
c)
-1/3
d)
1/3
5.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
6.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
7.
What is the slope?
a)
-1/3
b)
-3
c)
-4
d)
5
8.
What is the slope?
a)
-21
b)
-17
c)
1/4
d)
4
9.
Find the slope from the table.
a)
1/4
b)
-1/4
c)
-4/1
d)
4/1
10.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
11.
What is the slope?
a)
2
b)
1/2
c)
1
d)
1.5
12.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
13.
Find the slope of the line that passes through:
(-4, 7) and (-6, -4)
(-4, 7) and (-6, -4)
a)
2/11
b)
13/2
c)
3/10
d)
11/2
14.
Find the slope of the line that passes through:
(-3, -4) and (7, 6)
(-3, -4) and (7, 6)
a)
0
b)
Undefined
c)
-1
d)
1
15.
What is the slope?
a)
2/3
b)
3/2
c)
-7
d)
-5
16.
What is the slope?
a)
-4/3
b)
-3/4
c)
-2
d)
-6
17.
Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?
y=0.5x+10
What does the slope of the graph of this equation represent?
a)
The daily fee for the moving truck
b)
The per-mile fee for the moving truck
c)
How much Charlie paid for the truck
d)
The number of miles he drove
18.
The graph represents gasoline consumption when driving a certain distance in km. What is the meaning of the slope?
a)
The tank started with 50 L of gasoline
b)
the amount of gasoline consumed per km driven
c)
the distance it takes to lose a Liter of gas
d)
the gasoline is leaking because the slope is negative.
19.
An online music service lets customers download an unlimited number of songs for $0.25 each after paying a monthly membership fee of $5.00. The total amount of money a customer spends on music in dollars in a single month can be found using the function y=0.25x+5. What does the variable x represent in this function?
a)
The total amount of money the customer spends on music each month
b)
The number of songs the customer downloads each month
c)
The number of customers that use the music service
d)
The cost of downloading one song
20.
The equation c = 0.20t + 3.50 shows the relationship between the charge c in dollars for renting a kayak for t minutes. What is the meaning of the slope of the equation?
a)
For $1.00, you can rent a kayak for 20 minutes.
b)
It costs $0.20 per minute to rent the kayak.
c)
You have to pay $0.20 up front before using the kayak at all.
d)
Every .2 minutes, you have to pay $1.00.
21.
What does the slope represent in this situation?
a)
The sloth runs 1 feet in 3 minutes
b)
The sloth runs 3 feet in 1 minute
c)
The sloth runs fast
d)
The sloth runs 6 feet in 1 minute
22.
What does the rate of change represent?
a)
The population increased 5,700 every year
b)
The initial population was 193,000
c)
The population decreased 5,700 every year
d)
The population increased 193,000 every year
23.
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
24.
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
25.
The amount of money earned on a job is directly proportional to the number of hours worked. if $36 is earned for 8 hours of work, how much is earned for 30 hours of work?
a)
135
b)
6.667
c)
1080
26.
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
27.
Is this a direct variation?
y = 2x
y = 2x
a)
yes
b)
no
28.
Write the equation for the table given.
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
29.
y varies directly with x. When y is 16, x is 32. Which equation represents this situation?
a)
y = 32x
b)
y = 16x
c)
y = 2x
d)
y = (1/2)x
30.
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
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 between the two points.
(3, 7) and (-4, 2)
(3, 7) and (-4, 2)
a)
7/5
b)
5/7
c)
2/3
d)
2
33.
Which of the given graphs is a direct variation?
a)
A
b)
B
c)
C
d)
D
34.
Is the relationship shown directly proportional?
a)
No
b)
Yes, the slope is 1
c)
Yes, the slope is 2
35.
Choose all of the true statements about the graph:
a)
The relationship shown is directly proportional.
b)
The slope is 3.
c)
The graph includes the point (4, 12)
d)
When you double the x value, the y value doubles.
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