Name ________________________________________ Date __________________ Class __________________
MODULE
4
Rates and Proportionality
Module Quiz: B
5. A student spends the same amount each
week for bus fare. In 5 weeks, he spends
$115. Which equation shows this
relationship? Let x = number of weeks.
1. A machine paints 340 toy boats in
45 minutes. Which expression equals
the unit rate per hour?
A
3
4
340
B
45
340
C
D
340
3
4
A y = 3.22x
B y = 5x
C y = 23x
340
45
D y = 115x
2. Which speed is the fastest?
Use the graph for 6–7.
A 18 feet in 20 minutes
B 90 feet in 2.5 hours
C 20 yards in 1.5 hours
D 3
2
yards in 15 minutes
3
3. What is the unit price for a piece of
cheese if 1.24 pounds costs $11.25?
A $0.11 per lb
B $9.07 per lb
6. Draw a line through the points. Why does
this line show a proportional relationship?
C $12.49 per lb
D $13.95 per lb
A It is not curved.
4. Which table shows a constant rate of
change?
A
Days
Earnings ($)
B
Days
Earnings ($)
6
12
18
225
450
750
6
12
18
225
500
750
B It is a vertical line.
C It connects all the dots.
D It goes through the origin.
7. What is the constant of proportionality for
the relationship on the graph?
A 3.5
C 8
B 7
D 28
8. If a is an integer, when is
C
Days
Earnings ($)
D
Days
Earnings ($)
6
12
20
225
450
675
6
12
20
225
450
750
a
always
b
equal to an integer?
A b=0
C b>1
B b<1
D b = 1 or −1
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27
Name ________________________________________ Date __________________ Class __________________
Rates and Proportionality
MODULE
4
14. A car traveled at a constant speed of
45 miles per hour. Make a graph to show
how the distance traveled in miles is
related to the time in hours.
9. Complete the table for an object that
3
goes miles in 6 minutes.
4
3
4
Distance (mi)
1
1
2
2
1
4
1
10
Time (h)
10. If a person bikes 2.4 miles in 10 minutes,
how far can he bike in 1.5 hours?
________________________________________
11. Explain how to simplify this complex
fraction. Interpret the meaning of the
result.
Use the graph for 15–16.
330 pages
3
hour
4
________________________________________
________________________________________
12. Find k, the constant of proportionality, for
the data in this table. Then write an
equation for the relationship.
x
25
50
75
100
y
160
320
480
640
15. What equation shows the line through the
data points on the graph?
________________________________________
________________________________________
16. Write an equation for someone saving
more money per week. Add a line to the
graph for this equation.
13. Create a table that shows a proportional
relationship. Do not use an integer for the
constant of proportionality.
Number
of Cookies
Cost ($)
6
12
________________________________________
20
4
miles in one-half
5
hour. What is its speed?
17. An object travels
________________________________________
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28
14. Sample graph shown. Location of points
will vary.
12. $68
13.
37
7
14. $145
15. 3.5 hr
16. $35
17. 1.36
18. 2.25 lb
19. 60 mph
20. 18 minutes
15. y = 15x
21. $1,250 loss
16. Answers will vary. Sample answer: y = 30x
22. $82.50
23. $300
24. −1
1
5
MODULE 4 Rates and
Proportionality
Module Quiz 4: B
1. C
17. 1.6 mi/h
2. A
Module Quiz 4: D
3. B
1. C
4. D
2. A
5. C
3. C
6. D
4. B
7. A
5. B
8. D
6. B
1 3
9. ;
5 10
7. C
8. B
10. 21.6 mi
9. 40; 60
3
4
. This equals 330 times ,
3
4
which equals 440. The result shows the
number of pages per hour, or the unit rate.
11. Divide 330 by
10. 4.8 mi
11.
12. k = 6.4; y = 6.4x
12. Each value of x is multiplied by 10 to get
the value of y.
13. Answers will vary. Sample answer:
Number
of Cookies
Cost ($)
6
12
20
15
30
50
10
2
; 1 mi/h
3
3
13. Answers will vary. Sample answer: 10 lbs
cost $100
Number
of Pounds
Cost ($)
1
2
3
$10
$20
$30
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
160