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A.1 Foundations for Functions: The student understands that a function represents a dependence of one quantity on another and can be described in a variety of ways. (A) The student describes independent and dependent quantities in functional relationships. 2003 9th Grade 42) 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? F The time traveled depends on the distance traveled. G The distance traveled depends on the time traveled. H The speed of the car depends on the distance traveled. J The speed of the car depends on the time traveled. 2006 9th Grade 41) To find c, the total cost of an order of DVDs from a certain website, the equation c = 19.99n + 4.99 can be used, where n represents the number of DVDs ordered. If c is a function of n, which of the following best describes this relationship? A The value of n is constant in relation to c. B The value of n is dependent on c. C The value of c is constant in relation to n. D The value of c is dependent on n. 2008 Released 9th Grade 1 1) If y is a function of x in the equation y = x + 9, which statement is true? 2 1 A The dependent variable, y, is 9 more than the independent variable, x. 2 1 B The independent variable, y, is 9 more than the dependent variable, x. 2 1 C The dependent variable, x, is 9 more than the independent variable, y. 2 1 D The independent variable, x, is 9 more than the dependent variable, y. 2 2009 9th Grade 1 35) If y is a function of x in y = x + 3, which of the following statements is true? 2 1 A The independent variable, y, is 3 more than the dependent variable, x. 2 1 B The dependent variable, y, is 3 more than the independent variable, x. 2 1 C The independent variable, x, is 3 more than the dependent variable, y. 2 1 D The dependent variable, x, is 3 more than the independent variable, y. 2 A.1.A The student describes independent and dependent quantities in functional relationships. 2003 10th Grade 19) A function is described by the equation f (x) = x2 + 5. The replacement set for the independent variable is {1, 5, 7, 12}. Which of the following is contained in the corresponding set for the dependent variable? A 0 B 6 C 7 D 15 2004 10th Grade 23) The volume of a rectangular prism is given by the function V = lwh. Which statement is true? A The volume of the prism depends on the product of only the length and the width. B The volume of the prism depends on the product of only the length and the height. C The volume of the prism depends on the product of the length, the width, and the height. D The volume of the prism depends on the product of only the width and the height. 2006 10th Grade 10) If y is a function of x in the equation y = x2 − 9, which statement is true? F The independent variable x is equal to 9 less than the square of the dependent variable y. G The independent variable y is equal to 9 less than the square of the dependent variable x. H The dependent variable y is equal to 9 less than the square of the independent variable x. J The dependent variable x is equal to 9 less than the square of the independent variable y. 2009 10th Grade 9) Jeri can row a boat at a speed of 8 miles per hour with the current. The number of miles, m, she rows with the current in h hours can be represented by the function m = 8h. Which of the following represents the dependent quantity in this function? A The weight of Jeri’s boat B The speed of the current C The amount of time Jeri rows D The number of miles Jeri rows A.1.A The student describes independent and dependent quantities in functional relationships. 2004 Exit 55) A department store had a 20%-off sale on all clothing items. Which statement best represents the functional relationship between the sale price of an article of clothing and the original price? A The original price is dependent on the sale price. B The sale price is dependent on the original price. C The sale price and the original price are independent of each other. D The relationship cannot be determined. 2005 October Exit 36) A community-service organization is selling $10 tickets to a fund-raiser for the local children’s hospital. The money raised from ticket sales will be donated to the children’s hospital. Which best describes the dependent quantity in this situation? F The number of tickets sold is dependent on the amount of the donation. G The price of each ticket is dependent on the number of tickets sold. H The amount of the donation is dependent on the number of tickets sold. J The price of each ticket is dependent on the amount of the donation. 2006 Exit 13) An ice-cream vendor made a table showing the relationship between the daily high temperature and the number of ice-cream cones sold per day. What is the dependent quantity in this relationship? A The daily high temperature B The number of ice-cream cones sold per day C All of the data in the table D Cannot be determined 2009 Exit 11) During a sale at a shoe store, all shoes were 25% off the original price. Which statement best describes the functional relationship between the sale price of a pair of shoes and the original price? A The sale price is dependent on the original price. B The original price is dependent on the sale price. C The sale price and the original price are independent of each other. D The sale price is dependent on the number of pairs of shoes purchased.