230 Chapter 2 Linear Equations in Two Variables and Functions b1t2 0.7t 4.5 74. The function defined by represents the per capita consumption of bottled water in the United States since 1985.The values of b(t) are measured in gallons, and corresponds to the year 1985. (Source: U.S. Department of Agriculture) a. Evaluate b(0) and b(7) and interpret the results in the context of this problem. b. Determine the slope and interpret its meaning in the context of this problem. x 23 y 6, 1 2 3 4 5 6 7 8 4 21 y 1 2 3 4 5 6 7 8 9 x 1 t 0 For Exercises 75–80, refer to the graph. 5 4 3 2 1 2 1 1 g1 g142 22 75. Find . 76. Find . 77. For what value(s) of x is 78. For what value(s) of x is 79. Write the domain of g. 80. Write the range of g. g1x2 0? g1x2 4? y x 543 1 2 3 4 5 2 3 4 5 y g(x) For Exercises 72–73, find the x- and y-intercepts. 72. p1x2 4x 7 73. q1x2 2x 9 1. Given the equation complete the ordered pairs and graph the corresponding points. 10, 2 1 , 02 1 , 32 2. Determine whether the following statements are true or false and explain your answer. a. The product of the x- and y-coordinates is positive only for points in quadrant I. b. The quotient of the x- and y-coordinates is negative only for points in quadrant IV. c. The point (2,3) is in quadrant III. d. The point (0, 0) lies on the x-axis. 3. Determine if is a solution to . y 1 2 x 3 4. Explain the process for finding the x- and y-intercepts. 14, 12 For Exercises 5–8, identify the x- and y-intercepts (if possible) and graph the line. 5. 6x 8y 24 6. x 4 Chapter 2 Test 5 4 y 5 4 3 21 1 2 3 4 5 1 2 3 4 5 x 3 2 1 5 4 y 765 43 1 2 3 21 1 2 3 4 5 x 3 2 1
miller_intermediate_algebra_4e_ch1_3
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