C Challenge

40. Reasoning Graph the function rules below in the same coordinate plane.

    • y = | x | + 1 y equals vertical line x vertical line plus 1
    • y = | x | + 4 y equals vertical line x vertical line plus 4
    • y = | x | − 3 y equals vertical line x vertical line negative 3

    In the function rule y = | x | + k , y equals vertical line x vertical line plus k comma  how does changing the value of k affect the graph?

41. Reasoning Make a table of values and a graph for the function rules y = 2 x y equals 2 x  and y = 2 x 2 . y equals 2 , x squared , .  How does the value of y change when you double the value of x for each function rule?

Standardized Test Prep

GRIDDED RESPONSE

SAT/ACT

42. A plumber's bill b is based on $125 for materials and $50 per hour for t hours of labor. This situation can be represented by the function rule b = 50 t + 125 . b equals 50 t plus 125 .  Suppose the plumber works for 3 1 4 h . 3 , and 1 fourth , h .  How much is the bill?
43. No more than 1 10 1 tenth  of the people attending an auto race will be given a free hat. If maximum attendance is 3510 people, what is the greatest number of free hats that can be given away?
44. What is the solution of 12 b = 36 51 ? 12 over b , equals , 36 over 51 , question mark
45. What is the solution of 2 ( x − 5 ) = 2 − x ? 2 open x minus 5 close equals 2 minus x question mark

Mixed Review

See Lesson 4-3.

Tell whether the function shown in each table is linear or nonlinear.

46. x	0	1	2	3	4
    y	0	− 1 negative 1	− 1 negative 1	− 3 negative 3	− 2 negative 2

47. x	0	1	2	3	4
    y	− 7 negative 7	− 6 negative 6	− 5 negative 5	− 4 negative 4	− 3 negative 3

See Lesson 3-7.

Solve each equation. If there is no solution, write no solution.

48. | x − 5 | = 7 vertical line x minus 5 vertical line equals 7
49. | x + 3 | = 4 vertical line x plus 3 vertical line equals 4
50. 6 = | a − 7 | 6 equals vertical line eh minus 7 vertical line
51. 20 = | n + 11 | 20 equals vertical line n plus 11 vertical line
52. − 3 | 4 q | = 10 negative 3 vertical line 4 q vertical line equals 10
53. − 2 | 5 y | = − 40 negative 2 vertical line 5 y vertical line equals negative 40
54. 8 | z − 1 | = 24 8 vertical line z minus 1 vertical line equals 24
55. | b + 2 | + 5 = 1 vertical line b plus 2 vertical line plus 5 equals 1
56. 3 | t + 1 | + 1 = 7 3 vertical line t plus 1 vertical line plus 1 equals 7

Get Ready! To prepare for Lesson 4-5, do Exercises 57 and 58.

See Lesson 2-2.

Define a variable and write an equation for each situation. Then solve the problem.

57. Shopping You have $14. Ice-cream cones cost $4, and the store offers $2 off the price of the first ice-cream cone. How many ice-cream cones can you buy?
58. Gardening You order 5 yd of mulch and pay a delivery fee of $35. The total cost including the delivery fee is $200. What is the cost of each yard of mulch?

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