y 20x 55 $235 $1340 Test 287 80. The number of drug prescriptions increased between 2000 and 2010 (see graph). Let x represent the number of years since 2000. Let y represent the number of prescriptions (in millions). 81. A water purification company charges $20 per month and a $55 installation fee. a. Write a linear equation to compute the total cost, y, of renting this system for x months. b. Use the equation from part (a) to determine the total cost to rent the system for 9 months. 82. A small cleaning company has a fixed monthly cost of $700 and a variable cost of $8 per service call. a. Write a linear equation to compute the total cost, y, of making x service calls in one month. y 8x 700 b. Use the equation from part (a) to determine the total cost of making 80 service calls. Number of Drug Prescriptions (4, 3373) (8, 3921) a. Using the ordered pairs (4, 3373) and (8, 3921) find the slope of the line. b. Interpret the meaning of the slope in the context of this problem. c. Find a linear equation that represents the number of prescriptions, y, versus the year, x. d. Predict the number of prescriptions for the year 2015. 4880 million m 137 5000 4000 0 0 2 4 6 8 10 12 Millions of Prescriptions Year (x 5 0 corresponds to 2000) 3000 2000 1000 y x The number of prescriptions increased by 137 million per year during this time period. y 137x 2825 Chapter 3 Test 1. In which quadrant is the given point located? a 7 2 , 4b a. b. (4.6, 2) c. (37, 45) 2. What is the y-coordinate for a point on the x-axis? 3. What is the x-coordinate for a point on the y-axis? 4. Bamboo is the fastest growing woody plant on Earth. At a bamboo farm, the height of a black bamboo plant (phyllostachys nigra) is measured for selected days. Let x represent the day number and y represent the height of the plant. Day, x Height (inches), y 4 14 8 28 12 42 16 56 20 70 a. Write the data as ordered pairs and interpret the meaning of the first ordered pair. 0 0 II IV III b. Graph the ordered pairs on a rectangular coordinate system. 80 70 60 50 40 Height of Bamboo Plant per Day 0 0 2 4 6 8 10 12 14 16 18 20 Height (in inches) Day 30 20 10 y x (4, 14) After 4 days the bamboo plant is 14 in. tall. (8, 28), (12, 42), (16, 56), (20, 70) c. From the graph, estimate the height of the bamboo plant after 10 days. Approximately 35 in. 5. Determine whether the ordered pair is a solution to the equation 2x y 6. a. (0, 6) b. (4, 2) No Yes 9 c. (3, 0) Yes d. a , 3b Yes 2 Writing Translating Expression Geometry Scientific Calculator Video
miller_introductory_algebra_3e_ch1_3
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