C Challenge

Make a table and a graph of each set of ordered pairs (x, y). Then write a function rule to represent the relationship between x and y.

31. ( − 4 , 7 ) , ( − 3 , 6 ) , ( − 2 , 5 ) , ( − 1 , 4 ) , ( 0 , 3 ) , ( 1 , 2 ) , ( 2 , 1 ) , ( 3 , 0 ) , ( 4 , − 1 ) open negative 4 comma 7 close comma open negative 3 comma 6 close comma open negative 2 comma 5 close comma open negative 1 comma 4 close comma open 0 comma 3 close comma open 1 comma 2 close comma open 2 comma 1 close comma open 3 comma 0 close comma open 4 comma negative 1 close
32. ( − 4 , 15 ) , ( − 3 , 8 ) , ( − 2 , 3 ) , ( − 1 , 0 ) , ( 0 , − 1 ) , ( 1 , 0 ) , ( 2 , 3 ) , ( 3 , 8 ) , ( 4 , 15 ) open negative 4 comma 15 close comma open negative 3 comma 8 close comma open negative 2 comma 3 close comma open negative 1 comma 0 close comma open 0 comma negative 1 close comma open 1 comma 0 close comma open 2 comma 3 close comma open 3 comma 8 close comma open 4 comma 15 close

Standardized Test Prep

SAT/ACT

33. You buy x pounds of cherries for $2.99/lb. What is a function rule for the amount of change C you receive from a $50 bill?

    1. C = 2.99 x − 50 c equals , 2.99 , x minus 50
    2. C = 50 − 2.99 c equals 50 minus , 2.99
    3. C = 50 − 2.99 x c equals 50 minus , 2.99 , x
    4. C = 2.99 − 50 x c equals , 2.99 , minus 50 x

34. What is the solution of − 5 < h + 2 < 11 ? negative 5 less than h plus 2 less than 11 question mark

    6. − 3 < h < 11 negative 3 less than h less than 11
    7. − 7 < h < 9 negative 7 less than h less than 9
    8. − 7 > h > 9 negative 7 greater than h greater than 9
    9. h < − 7  or  h > 9 h less than negative 7 , or , h greater than 9

35. Which equation do you get when you solve − a x + b y 2 = c  for  b ? negative eh x plus b , y squared , equals c , for , b question mark

    1. b = c − a x y 2 b equals . fraction c minus eh x , over y squared end fraction
    2. b = y 2 ( c + a x ) b equals , y squared , open c plus eh x close
    3. b = c + a x y 2 b equals . fraction c plus eh x , over y squared end fraction
    4. b = c y 2 + a x b equals , fraction c , over y squared end fraction , plus eh x

Extended Response

36. The recommended dosage D, in milligrams, of a certain medicine depends on a person's body mass m, in kilograms. The function rule D = 0.1 m 2 + 5 m d equals 0.1 , m squared , plus 5 m  represents this relationship.

    1. What is the recommended dosage for a person whose mass is 60 kg? Show your work.
    2. One pound is equivalent to approximately 0.45 kg. Explain how to find the recommended dosage for a 200-lb person. What is this dosage?

Mixed Review

See Lesson 4-4.

Graph each function rule.

37. y = 9 − x y equals 9 minus x
38. y = 4 + 3 x y equals 4 plus 3 x
39. y = x + 1.5 y equals x plus 1.5
40. y = 4 x − 1 y equals 4 x minus 1
41. y = 6 x y equals 6 x
42. y = 12 − 3 x y equals 12 minus 3 x

See Lesson 2-6.

Convert the given amount to the given unit.

43. 8.25 lb; ounces
44. 450 cm; meters
45. 17 yd; feet
46. 90 s; minutes
47. 216 h; days
48. 9.5 km; meters

Get Ready! To prepare for Lesson 4-6, do Exercises 49–56.

See Lesson 1-6.

Find each product. Simplify if necessary.

49. − 4 ( 9 ) negative 4 open 9 close
50. − 3 ( − 7 ) negative 3 open negative 7 close
51. − 7.2 ( − 15.5 ) negative 7.2 open negative , 15.5 , close
52. − 6 ( 1.5 ) negative 6 open 1.5 close
53. − 4 ( − 7 2 ) negative 4 . open , negative , 7 halves , close
54. − 4 9 ( − 9 4 ) negative , 4 ninths . open , negative , 9 fourths , close
55. 25 9 ( 3 5 ) 25 over 9 . open , 3 fifths , close
56. 7 10 ( 15 8 ) 7 tenths . open , 15 over 8 , close

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