Name ________________________________________ Date __________________ Class __________________
MODULE
16
Proportional Relationships
Module Quiz: B
Use the graph for 5–6.
Use the table for 1–3.
Dan’s Dog-Walking Business
Time (h)
2
Charge ($)
30
5
9
11
135
165
1. Dan charges $15 per hour for walking
dogs. What is the missing number in the
table?
________________________________________
2. What is the constant of proportionality for
the data in the table?
5. Which line has a slope of −3?
________________________________________
________________________________________
3. Write an equation that shows the
relationship in the table.
6. What is the slope of line n?
________________________________________
________________________________________
7. Every 2.5 hours, a machine produces
150 baskets. What is the unit rate
of this proportional relationship in baskets
per hour?
4. Which table shows a constant rate of
change? Select Yes or No.
A
Time (h)
Distance (mi)
Yes
B
Distance (mi)
C
18
225
450
675
________________________________________
6
12
18
225
500
750
8. Which of the following is a negative
rational number that is not an integer?
Select Yes or No.
No
Time (h)
Distance (mi)
Yes
12
No
Time (h)
Yes
6
6
13
20
225
450
675
A −π
Yes
No
B −4.5
Yes
No
C −0.83
Yes
No
Yes
No
D
5
No
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
75
Name ________________________________________ Date __________________ Class __________________
MODULE
16
Proportional Relationships
Module Quiz: B
Use the graph for 13–14.
Use the graph for 9–10.
9. Complete the table to display the data
shown on the graph.
13. The graph shows two objects moving at
a constant speed. Use the graph to
compare the unit rates.
Time (weeks)
Savings ($)
________________________________________
10. Find the constant of proportionality and
write an equation for the relationship.
________________________________________
14. The data in this table represents another
moving object, Object C. Explain how this
unit rate compares to those shown on the
graph.
________________________________________
11. Carla is renting a canoe. It costs $80 for
2 hours and $110 for 4 hours. What is the
rate of change for this situation?
Time (s)
Distance (m)
________________________________________
12. Draw a line through the origin that has a
4
slope of − .
3
5
10
20
7.5
15
30
________________________________________
________________________________________
________________________________________
15. Hiking at a constant rate, Fred covers
20 miles in 4 hours. Predict how far he
can hike in 10 hours.
________________________________________
16. A thick human hair is about 1.81 × 10−4
meter in diameter. Write this
measurement in standard notation.
________________________________________
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76
7. A True B False C False D True
17. 2.86 × 103
8. B
18. 8,500,000
9. 89
19. −3
20. 4
10. 1.1 × 10−4 m
11. −7
21. 7 × 10−4
12. 40 ft
22. 0.014
13. A True B True C True D True
23. 8,900 m
14. The first factor is not less than 10.
24. 0.025 m
15. 365,000
25. 1,400,000,000 m
26. grain of salt
16. 1010
17. 5.84 × 10
27.
4
18. 1.9 × 108
30
28. 5.19 × 107
19. 8.43 × 10−6 m
MODULE 16 Proportional
Relationships
20. 0.00007024 cm
21. Answers will vary. Sample answer:
0.00065, 6.5 × 10−4
Module Quiz 16: B
−5
22. 2.25 × 10 m
1. 75
23. 8
2. 15
24. 0.000016 m
3. y = 15x
25. 4
4. A Yes B No C Yes
26. 1.6 × 10−2 m
27.
75 , 4.3 ,
5. line k
20 π
,
13 4
6.
1
2
28. 5.23 × 107
7. 60 baskets per hour
Module Quiz 15: D
8. A No B Yes C Yes D No
1. C
2. C
3. A
4. C
5. B
6. A
7. B
8. C
9. B
10. A
11. C
12. A
13. C
14. 6
15. 10,000; 52,000
9.
Time (weeks)
10
15
25
Savings ($)
40
60
100
10. k = 4; y = 4x
11. $15 per h
12. Students’ graphs should show the
4
equation y = − x, passing through
3
(0, 0) and (3, −4).
13. unit rate for Object A is 2.5 m/s; unit rate
2
for Object B is
m/s.
3
14. Object C’s unit rate is 1.5 m/s. C is
moving faster than B, but slower than A.
15. 50 mi
16. 0.000181 m
16. 4.7 × 103
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
240