Ab1a the Student Describes Independent and Dependent Quantities in Functional Relationships

Klein ISD High School TAKS Short Course Objective 1

A1A The student is expected to describe 5. To find c, the total cost of an order of DVDs independent and dependent quantities in functional from a certain website, the equation relationships. c = 19.99n + 4.99 can be used, where n represents the number of DVDs ordered. If 1. The volume of a rectangular prism is given by c is a function of n, which of the following best the function V = lwh. Which statement is true? describes this relationship?

A The volume of the prism A The value of n is constant in relation to c. depends on the product of only the length and the width. B The value of n is dependent on c.

B The volume of the prism C The value of c is constant in relation to n. depends on the product of only the length and the height. D The value of c is dependent on n.

C The volume of the prism depends on the product of the 6. If y is a function of x in the equation length, the width, and the height. y = x 2 - 9, which statement is true?

D The volume of the prism A The independent variable x is equal to depends on the product of only 9 less than the square of the dependent the width and the height. variable y.

2. A department store had a 20%-off sale on all B The independent variable y is equal to clothing items. Which statement best 9 less than the square of the dependent represents the functional relationship between variable x. the sale price of an article of clothing and the original price? C The dependent variable y is equal to 9 less than the square of the independent variable x. A The original price is dependent on the sale price. D The dependent variable x is equal to 9 less than the square of the independent variable y. B The sale price is dependent on the original price. 7. An ice-cream vendor made a table showing the C The sale price and the original relationship between the daily high temperature price are independent of each and the number of ice-cream cones sold per day. other. What is the dependent quantity in this relationship?

D The relationship cannot be A The daily high temperature determined. B The number of ice-cream cones sold per day 3. A function is described by the equation f (x) = x2 + 5. The replacement set for the C All of the data in the table independent variable is {1, 5, 7,12}. Find the corresponding set for the dependent variable? D Cannot be determined

4. For a car traveling at a speed of 50 miles per hour, the relationship between the distance traveled, d, and the time traveled, t, is described by the function d = 50t. Which statement is true?

A The time traveled depends on the distance traveled.

B The distance traveled depends on the time traveled.

C The speed of the car depends on the distance traveled.

D The speed of the car depends on the time traveled.

Klein ISD Division of Curriculum and Instruction February 2007 Page 1 of 8 Klein ISD High School TAKS Short Course Objective 1

A1B The student is expected to gather and records 11. Find the quadratic equation that could be used to data, and use data sets, to determine functional generate this table of values? relationships between quantities.

8. Find the equation that best describes the quadratic relationship between x and y shown in the table below?

x y 1 3 2 12 4 48 12. In many parades, flowers are used to decorate the floats. The table below shows the number 6 108 of flowers used in each row of a parade float. 9 243 Row Number, r Number of Flowers, n 1 54 9. Troy borrowed money from his father so that he 2 58 could buy a used car. The table shows the 3 62 remaining balance, b, of Troy’s loan after each 4 66 payment.

Troy’s Loan Balance Which equation best describes these data? Number of Loan Payments, p Balance, b A n = 2r + 52 B n = r + 54 1 $3910 C n = 4r + 50 D n = 4r + 54 2 $3685 3 $3460 4 $3235 5 $3010 13. The table below shows the relationship between p, the number of cell phones a company produces, 6 $2785 and d, the number of cell phones that are defective.

Find the function that can be used to describe this Cell Phones relationship? Number Number Produced Defective 100 5 10. Determine the linear equation that best describes 200 10 the relationship between the corresponding values 300 15 of x and y shown in the table? 400 20 500 25 x y Which equation can be used to describe this -2 -12 relationship? 0 -6 A d = 20p B d = 0.05p 1 -3 4 6 p - 90 C d = D d = p - 95 2

14. Casey conducted an experiment and recorded 18. Mr. Ross is purchasing a table and chairs for the data in the table shown below. $1350, including tax and interest. He will pay for the furniture with monthly payments of $75. If Mr. x y Ross has made m payments, which equation best describes r, the amount of the remaining balance? 1 1 2 2 A r = (1350 − 75)m

3 5 B r = 75m + 1350 4 10 C r = 1350 − 75m

Which equation best describes these data? D r = 75m − 1350

A y = x 19. Ms. Adams bought a refrigerator that cost $1200, including tax. The cost of electricity to B y = 2x − 1 run this refrigerator is estimated at $78 per year. Which equation best represents c, the total cost of C y = x 2 + x − 1 the refrigerator including electricity over n years of operation? D y = (x − 1)2 + 1 A c = 1200(78n)

A1C The student is expected to describe functional B c = 1200(n + 78) relationships for given problem situations and write equations or inequalities to answer questions C c = 1200 − 78n arising from the situations. D c = 1200 + 78n 15. Eddie’s Towing Company charges $40 to hook a vehicle to the tow truck and $1.70 for each mile the vehicle is towed. Determine the equation that 20. The profit earned on the sale of tool sets can be best represents the relationship between the represented as the product of the number of tool number of miles towed, m, and the total charges, c? sets sold and the difference between the selling price and the cost of making each set. The selling price of each tool set is $19.95, and the cost of making each set is $4.37. Which equation 16. A candy company sells chocolate-covered cherries represents p, the profit, in terms of s, the number of in a box. The empty box weighs 4.2 ounces. Each tool sets sold? piece of candy weighs at least 1.8 ounces. Which inequality best describes the total weight in ounces, A p = s(19.95 − 4.37) w, of a box of chocolate-covered cherries in terms of c, the number of candies in the box? B p = s(19.95 + 4.37) C p = 19.95 + 4.37s A w 1.8c + 4.2 D p = 19.95s − 4.37 B w 1.8c 4.2

C w 4.2c + 1.8

D w 4.2c 1.8

5 17. The temperature in degrees Celsius, C, is /9 of the difference between the temperature in degrees Fahrenheit, F, and the constant 32. Find the equation that best represents this relationship?

A1D The student is expected to represent 22. Jerome received a gift card for $20 worth of video relationships among quantities using concrete rentals from a video store. If the cost of renting a models, tables, graphs, diagrams, verbal video is $2.50, which table best describes b, the descriptions, equations and inequalities. balance remaining on the gift card after he rents n videos? 21. Which graph best represents the inequality x + 2y 14? A. n b 0 $20.00 A 1 $17.50 2 $15.00 4 $10.00 6 $5.00

B n b 1 $17.50 2 $15.00 3 $13.50

4 $11.00 5 $8.50 B C. n b 0 $20.00 2 $17.50 4 $15.00 6 $12.50 8 $10.00

D. C n b 0 $20.00 1 $15.00 4 $10.00 6 $2.50 8 $0.00

23. Sketch the graph that represents all the pairs of numbers (x, y) such that x + y < −6?

Klein ISD Division of Curriculum and Instruction February 2007 Page 4 of 8

CD Klein ISD High School TAKS Short Course Objective 1

24. Which inequality best describes the graph shown 26. Which graph best represents the relationship below? shown in the table below?

x y -1 -0.5 0 0 1 0.5 2 4

3 4 A. y> - x + 5 B. y< - x + 5 4 3

3 4 C. y< - x + 5 D. y> - x + 5 4 3

25. Which data set is best described by the function y = -2x 2 + 5x? B

A. x y -4 -52 -1 -3 2 2 3 9 6 -42

B. C x y -5 -75 -3 -33 1 7 4 52 6 -42

C. x y D -3 -33 -1 -7 2 2 3 -3 5 -25 D. x y -2 -18 2 -2 5 -24 6 -42 8 -88

A1E The student is expected to interpret and make 28. Gina did a research project on how age affects decisions, predictions and critical judgments from sleep patterns. She concluded that as people age, functional relationships. they sleep fewer hours until a point in adulthood when the number of hours remains constant. Gina 27. The graph below best represents which of the also found that after the age of 70 the amount of following relationships between temperature and time spent sleeping increases slightly. Which graph time? best shows the results of Gina’s research?

A Oven temperature while a cake is baking B B Temperature of water that is heated on a stove, removed, and then allowed to cool

C Temperature of a container of hot tea after placing several cubes of ice in it

D Room temperature of a gym after the air conditioner is turned on .

29. Karen jogs at a steady pace up a hill in her 30. Which graph best represents the relationship neighborhood. She then runs down the hill, and her between the height of a burning candle and the speed increases. Which graph best describes this amount of time that passes as the candle burns? situation?

31. The graph below represents Lynne’s car trip from 33. According to the data shown below, which her house to the mall and then back to her house. would be the best prediction of the number of passengers at the International Jetport for the year 2008?

A 70.1 million If each section of the graph represents part of Lynne’s trip, which part of the trip took the least B 68.5 million amount of time? C 74.8 million A r B p D 78.0 million C q D s

32. The graph below represents Cheyenne’s bicycle trip from her house to a friend’s house.

On which segment of the graph does it appear that Cheyenne was riding her bicycle at the slowest pace?

Klein ISD Division of Curriculum and Instruction February 2007 Page 8 of 8