A1© 2014 College Board. All rights reserved. SpringBoard Course 3, Unit 4 Practice

LeSSon 27-1 1. a. {(25, 210), (10, 20), (212, 224), (15, 30)}

b. {(22, 1), (4, 0), (2, 3), (21, 22) and (2, 24)}

2. B

3. a. x 22 8 0 0.5y 213 47 21 2

b. x 2 2.1 24 10y 4.2 4.41 28.4 21

4. Answers may vary, but they should state that Tabitha wrote the ordered pairs incorrectly. She switched some of the x- and y-values in the ordered pairs.

5. A

LeSSon 27-2 6. a. The relation is not a function because two of the

x-values have more than one y-value associated with them.

b. The relation is a function because each x-value has only one y-value associated with it.

c. The relation is a function because each x-value has only one y-value associated with it.

7. D

8. Check students’ relations. The function should have each x-value associated with only one y-value.

9. Check students’ mappings. The set of ordered pairs is a function because each x-value has only one y-value associated with it.

10. D

LeSSon 27-3 11. a. Domain is {23, 24, 25, 21,};

Range is {3, 5, 6, 7, 8}

b. Domain is {2, 4, 6, 8}; Range is {4, 5}

c. Domain is {2, 3, 4, 5, 6}; Range is {8, 9, 10, 11, 12}

12. Answers may vary, but should state that the x-value could be any number except for the other x-values. This is because each x-value can only have one y-value associated with it.

13. A

14. The relation is a function because each x-value has only one y-value associated with it.

15. B

LeSSon 27-4 16. a. The relation is a function since each input has

only one output.

b. The relation is a function since each input has only one output.

c. The relation is not a function because at least one input has two different outputs.

17. A

18. a. These data are discrete because there are only three x-values. This also limits the y-values of the relation.

b. This relation is continuous because there is no limit to the x-values in this relation. There is also no limit to the y-values for this relation.

c. This is continuous because there is no limit to the x-values that can be substituted into the equation. There is also no limit to the y-values for this equation.

19. The ordered pairs do not represent a function because the x-value 5 has two y-values associated with it.

20. D

LeSSon 28-1 21. B

22. One set: a, f, g, l

Second set: b, d, i, j

Third set: c, e, h, k

Answers to Course 3 Unit 4 Practice

A2© 2014 College Board. All rights reserved. SpringBoard Course 3, Unit 4 Practice

23. a. matches with d.

b. matches with f.

c. matches with e.

24. Sample answer: Matthew has $50 in his savings account and donates $5 each week to the local animal shelter.

25. D

LeSSon 28-2 26. a. This function is proportional because the line of

the graph goes through the origin and it has a constant rate of change where the change in x is proportional to the change in y.

b. This function is not proportional because the graph does not go through the origin.

c. This function is not proportional because the graph does not go through the origin and the y-intercept is not 0.

27. The vehicle represented by A, the equation, is traveling faster. It increases by 4 distance units for every time unit. The graph, B, shows a vehicle increasing by a little more than 2 distance units for every time unit.

28. A

29. D

30. The rate of change is $9 per hour. The base pay is $90. y 5 90 1 9x

LeSSon 29-1 31. a. y 5 72x where x 5 the number of weeks and

y 5 the amount of money earned

b. The domain and range of the function are all numbers greater than 0 including 0.

c. The function is proportional because the equation is in the form y 5 kx.

32. Pablo needs to work for 9 weeks earning a total of $360 to afford the $325 tablet.

33. B

34. a. y 5 12x, where x 5 minutes and y 5 bushels

b. Minutes 0 5 10 15 18Bushels 0 60 120 180 216

c.

x

y

80

120

40

160

200

280

320

240

360

400

14 16120 18 204 62 8 10

Minutes

Bus

hels

d. y 5 12(0.75)x or y 5 9x

35. D

LeSSon 29-2 36. B

37. a. (0, 0)

b. 1.5

c. The function is proportional because the initial value is (0, 0) and it has a constant rate of change of 1.5.

38. C

39. No, the graph is not proportional. While the graph starts at the origin and increases it is not a constant increase.

40. Sample answer: I have $80 in my bank account. I spend $5 per week.

LeSSon 30-1 41. a. 42 words per minute

b. 504 words

42. A

A3© 2014 College Board. All rights reserved. SpringBoard Course 3, Unit 4 Practice

43. a. $17.50

b. $0.35

44. B

45. $5.00 per person

LeSSon 30-2 46. B

47.

x

y

100

200

400

300

500

430 51 2

48. C

49. No, because after 5 rides, the price stays the same. The table could represent a situation that all rides are $2 each or $10 for 5 or more.

50.

x

y

46

2

810

2426 22 4 620 8 10

242628

210

28210 22

LeSSon 31-1 51.

number of Beads

Length of Bracelet in mm

1 3.52 73 10.54 13.55 176 20.57 23.5

52. a.

x

y

4

6

2

8

10

14

16

12

18

30

28

26

24

22

20

7 860 9 102 31 4 5

Number of Beads

Leng

th o

f Bra

cele

t (m

m)

b. Yes, the data is linear.

53. D

54. C

55. No, the data is not linear.

A4© 2014 College Board. All rights reserved. SpringBoard Course 3, Unit 4 Practice

LeSSon 31-2

56.

x

y

46

2

810

1416

12

1820

7 860 9 102 31 4 5

57. C

58. A

59. y 5 4x

60. 64 cm

LeSSon 31-3 61. a.

b.

62. B

63. 20.4 feet

64. A

65.

x

y

4

8

16

12

20

2

6

14

10

18

430 51 2