Name _______________________________________ Date __________________ Class __________________
Ratios and Proportionality
Module 4 STUDY GUIDE
1. A machine paints 340 toy boats in
45 minutes. Write a ratio that can be
evaluated to find the unit rate per hour.
5. A student spends the same amount each
week for bus fare. In 5 weeks, he spends
$115. Write an equation for this
relationship. Let x  number of weeks.
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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 $11.25?
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6. Draw a line through the points. Why does
this line show a proportional relationship?
Select True or False.
A It is not curved.
4. Which table shows a constant rate of
change?
True
False
B It is a vertical line.
A
B
C
Hours
2
7
14
Earnings ($)
40
60
80
Hours
2
7
14
Earnings ($)
40
140
280
Hours
2
7
14
Earnings ($)
40
70
140
True
False
C It connects all the dots.
True
False
D It goes through the origin.
True
False
7. What is the constant of proportionality for
the relationship on the graph?
A 3.5
C 8
B 7
D 28
8. When is
a
equal to an integer?
b
A b0
C b 1
B b 1
D b  1 or 1
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
27
Name _______________________________________ Date __________________ Class __________________
Ratios and Proportionality
MODULE
4
Study Guide
Use the graph for 12–13.
9. Explain how to simplify this complex
fraction. Interpret the meaning of the
result.
330 pages
3
hour
4
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_______________________________________
12. What equation shows the line through the
data points on the graph?
10. Explain why k  10 is the constant of
proportionality for this table.
x
25
50
75
100
y
250
500
750
1,000
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13. Write an equation for someone saving
more money per week. Add a line to the
graph for this equation.
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________________________________________
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11. Some hikers had an average speed of 2
miles per hour. Draw a graph to show
how the distance is related to the time.
Plot at least 4 points and draw a line
through the points.
4
miles in one-half
5
hour. What is its speed?
14. An object travels
________________________________________
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28
Name _______________________________________ Date __________________ Class __________________
MODULE 4 Ratios and Proportionality
Module Quiz 4: B
1.
340
340
or
0.75
3
4
2. A
3. $9.07 per lb
4. B
5. y  23x
6. A False, B False, C False, D True
7. A
8. D
3
4
. This equals 330 times , which equals 440. The result shows the number of
3
4
pages per hour, or the unit rate.
9. Divide 330 by
10. Each value of x is multiplied by 10 to get the value of y.
11. Sample graph shown. y = 2x
12. y  15x
13. Answers will vary. Sample answer: y  30x
14. 1.6 mi/h
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