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# Math_TAKS_TEKS_A.1.A

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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.

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.

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.

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1) If y is a function of x in the equation y =     x + 9, which statement is true?
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A    The dependent variable, y, is 9 more than    the independent variable, x.
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B    The independent variable, y, is 9 more than    the dependent variable, x.
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C    The dependent variable, x, is 9 more than    the independent variable, y.
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D    The independent variable, x, is 9 more than    the dependent variable, y.
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35) If y is a function of x in y = x + 3, which of the following statements is true?
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A    The independent variable, y, is 3 more than     the dependent variable, x.
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B    The dependent variable, y, is 3 more than    the independent variable, x.
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C    The independent variable, x, is 3 more than     the dependent variable, y.
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D    The dependent variable, x, is 3 more than    the independent variable, y.
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A.1.A The student describes independent and dependent quantities in functional relationships.
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

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.

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.

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.

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