Name______________________Class____________Date________ 1 Hector types at a rate of 40 words per minute. The equation w 5 40m describes the relationship between w, the number of words he types, and m, the number of minutes he spends typing. Which statement is true? A The rate at which Hector types depends on the number of minutes he spends typing. 4 An overnight shipping company charges a flat fee of $10.00, plus $0.50 for every ounce the package weighs, and an additional $0.10 per mile of shipment. The price of a shipment can be expressed by the function P 5 10 1 (0.5)w 1 (0.1)d, where w is the weight in ounces, d is the distance in miles, and P is the price. Which statement is true? B The number of minutes he spends typing depends on the number of words he types. F The flat fee depends on the total price. C The number of words he types depends on the number of minutes he spends typing. H The distance depends on the weight. D The rate at which Hector types depends on the number of words he types. 2 Blaine earns $6 each hour he works at a taco stand. If h is the number of hours he works, and p is the total amount of money he makes, what is true about the relationship between h and p? F h depends on p. G P is an independent quantity. J w is an independent quantity. 5 Agam pays a $10 membership fee to a gym each month, plus $2 for each visitor he brings with him to the gym. If c is the total amount Agam spends at the gym, and v is the number of visitors he brings, the relationship between the two variables is c 5 10 1 2v. Which statement is true? A The monthly fee is the only independent variable. G h is an independent variable. H p is an independent variable. B The number of visitors depends on the total cost. J Blaine’s hourly rate depends on p. Copyright © Pearson Education, Inc., or its affiliates. All rights reserved. C The cost is the dependent variable. 3 At her job, Mirta washes 8 cars each hour. The relationship between the number of cars she washes, w, and the number of hours spent washing, h, is described by the function w 5 8h. Which statement is true? D The number of visitors depends on the monthly fee. A The amount of hours Mirta works depends on the number of cars she washes. B The amount of money Mirta earns depends on the number of cars she washes. C The number of cars Mirta washes depends on the number of hours she works. D The number of cars Mirta washes per hour depends on the number of hours she works. STAAR Algebra I EOC Assessment Practice LESSON 1 ■ Independent and Dependent Quantities in Functions 3 Name______________________Class____________Date________ 1 Find the domain and range of the function graphed below. 8 y 6 20 Juice Left (gallons) Bacteria (thousands) y 3 Ms. Drazi bought 25 gallons of cranberry juice for the juice machine at her office. The graph below shows how much juice was left over time. 4 2 O 2 4 6 8 x Time (days) 15 10 5 O A Domain: 0 # x # 4; Range: 0 # y # 4 B Domain: 0 # x # 8; Range: 0 # y # 4 C Domain: 0 # x # 4; Range: 0 # y # 8 D Domain: 0 # x # 8; Range: 0 # y # 8 2 4 6 8 x Time (days) What is the domain of this function? A 0 , x , 10 B 0 , y , 10 C 0 # x # 10 D 0 # y # 10 2 The graph below shows the temperature recorded at a weather station during a period of several months. Which inequality best approximates the range of the function? Temperature ( F) Copyright © Pearson Education, Inc., or its affiliates. All rights reserved. 80 y 4 Determine the domain and range of the function graphed below. 60 4 40 O y 2 4 8 12 16 x 240 –4 –2 O 2 4x –2 260 Time (months) –4 F 0 # x # 20 F Domain: 23 # x # 3; Range: 21 # y # 3 G 0 # y # 20 G Domain: 23 # x # 3; Range: 0 # y # 3 H 20 # x # 80 H Domain: 0 # x # 3; Range: 21 # y # 3 J 20 # y # 80 J Domain: 21 # x # 3; Range: 23 # y # 3 STAAR Algebra I EOC Assessment Practice LESSON 7 ■ Identifying and Determining Domains and Ranges 21 Name______________________Class____________Date________ 1 Which of these scatter plots shows a negative correlation? A 3 Describe the relationship between the average June temperatures and the latitude positions of cities on the scatter plot below. y x O Average June Temperature (°F) y 80 65 40 20 20 40 60 80 x Latitude O B y A The temperatures are about the same at all latitudes. B The lower the latitude, the lower the temperature. x O C D x 4 The scatter plot below shows the relationship between the ages of various cars of the same model and their values. y O x 2 Tina records the ages and weights of 12 children in her neighborhood. If she records this data in a scatter plot, what type of relationship will she most likely see? F Positive correlation G Negative correlation H No correlation Car Value (thousands of dollars) Copyright © Pearson Education, Inc., or its affiliates. All rights reserved. D The higher the latitude, the higher the temperature. y O C The higher the latitude, the lower the temperature. 25 y 20 15 10 5 O 2 4 6 8 x Age of Car (years) Approximately how much should you expect to pay for a 6-year-old car? F $5,000 G $10,000 H $15,000 J $20,000 J Constant correlation STAAR Algebra I EOC Assessment Practice LESSON 9 ■ Organizing and Interpreting Data 27
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