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FINAL EXAM REVIEW

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Determine whether or not the relationship shown in the table is a function.

1) x -2 2 5 8 12 y 7 4 3 7 -2

Does the table define y as a function of x?

A) Yes B) No

State whether the graph is or is not that of a function.

2)

-10 -5 5 10 x

y 10

5

-5

-10

-10 -5 5 10 x

y 10

5

-5

-10

A) No B) Yes

Find the domain of the function.

3) y = x x - 7

A) (7, ∞) B) all real numbers except 7

C) [7, ∞) D) (-∞, ∞)

Decide whether or not the equation defines y as a function of x.

4) y = x2 - 9

A) No B) Yes

Solve the problem.

5) The polynomial 0.0036x4 - 0.0049x3 + 0.0053x2 + 0.19x + 1.22 gives the predicted sales volume of a company, in millions of items, where x is the number of years from now. Determine the predicted sales 5 years from now.

Round your answer to the nearest hundredth million.

A) $4.89 million B) $11.7 million C) $3.94 million D) $8.86 million

6) The polynomial function I(t) = -0.1t2 + 1.5t represents the yearly income (or loss) from a real estate investment, where t is time in years. After what year does income begin to decline?

A) 6.5 B) 7.5 C) 10.00 D) 15

Find the slope of the line (if it exists) and the y-intercept (if it exists).

7) y = 3x + 9

A) Slope 9, y-intercept (0, 3) B) Slope 9, y-intercept (0, -3) C) Slope 3, y-intercept (0, 9) D) Slope -3, y-intercept (0, 9)

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Solve the problem.

8) The following graph shows the stock price of a new internet company over the first 18 months after the initial public offering of its stock.

Stock Price (in dollars)

2 4 6 8 10 12 14 16 18 x y

80 70 60 50 40 30 20 10

2 4 6 8 10 12 14 16 18 x y

80 70 60 50 40 30 20 10

Month

How many months was the stock price $40 during the initial 18 month period?

A) 1 month B) 2 months C) 3 months D) 4 months

9) The bar graph below gives the number of births in County A for the years 1960 to 1990. If the number of births in thousands in County A is the function B(t), where t is in years, find B(1960) and explain its meaning.

A) B(1960) = 1.693; In 1960 there were 1.693 births in County A.

B) B(1960) = 2.190; In 1960 there were 2.190 births in County A.

C) B(1960) = 2.190; In 1960 there were 2,190 births in County A.

D) B(1960) = 1.693; In 1960 there were 1,693 births in County A.

10) The cost of a rental car for the weekend is given by the function C(x) = 141 + 0.26x, where x is the number of miles driven. Find the slope of the graph of this function and interpret it as a rate of change.

A) 141; The cost of the rental car increases by $141 for each mile driven.

B) 0.26; The cost of the rental car decreases by $0.26 for each mile driven.

C) 141; The cost of the rental car decreases by $0.26 for each mile driven.

D) 0.26; The cost of the rental car increases by $0.26 for each mile driven.

11) The cost of a rental car for the weekend is given by the function C(x) = 142 + 0.27x, where x is the number of miles driven. Find and interpret the C-intercept of the graph of this function.

A) 142; The cost of the rental car increases by $142 for each mile driven.

B) 0.27; The cost of the rental car increases by $0.27 for each mile driven.

C) 142; There is a flat rate of $142 to rent a car in addition to the charge for each mile driven.

D) 0.27; There is a flat rate of $0.27 to rent a car in addition to the charge for each mile driven.

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Find the slope of the line through the pair of points.

12) (5, -4) and (4, 8) A) - 1

12 B) 12 C) - 12 D) 1

12

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation.

13) 6y - 3x = -9

A) (3, 0); 0, - 3 2

-10 -5 5 10 x

y 10

5

-5

-10

-10 -5 5 10 x

y 10

5

-5

-10

B) - 3

2, 0 ; (0, -3)

-10 -5 5 10 x

y 10

5

-5

-10

-10 -5 5 10 x

y 10

5

-5

-10

C) - 3

2, 0 ; (0, 3)

-10 -5 5 10 x

y 10

5

-5

-10

-10 -5 5 10 x

y 10

5

-5

-10

D) (-3, 0); 0, - 3 2

-10 -5 5 10 x

y 10

5

-5

-10

-10 -5 5 10 x

y 10

5

-5

-10

Write the equation of the line with the given conditions.

14) passing through (4, 2) and parallel to the line with equation 4x + y = 4

A) y = 4x - 18 B) y = - 4x + 18 C) y = - 1

4x - 9

2 D) y = - 4x - 18

Write the equation of the line using the information given about its graph.

15) Slope - 7

8, y-intercept 0, 53 8 A) y = - 7

8x + 53

8 B) y = 7

8x - 53

8 C) y = 7

8x + 53

8 D) y = - 7

8x - 53 8

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Solve the problem.

16) Suppose the monthly cost for manufacturing bar stools is C(x) = 548 + 38x, where x is the number of bar stools produced each month. Find and interpret the marginal cost for the product.

A) $548 per bar stool; Manufacturing one additional bar stool decreases the cost by $548.

B) $38 per bar stool; Manufacturing one additional bar stool increases the cost by $38.

C) $38 per bar stool; Manufacturing one additional bar stool decreases the cost by $38.

D) $548 per bar stool; Manufacturing one additional bar stool increases the cost by $548.

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form.

17) (4, 4); m = - 5 A) y = -5x + 1

24 B) y = -5x - 24 C) y = - 1

5x + 24 D) y = -5x + 24

Write the slope-intercept form of the equation for the line passing through the given pair of points.

18) (8, -5) and (0, 2) A) y = 7

8x + 2 B) y = - 7

8x + 2 C) y = 13

2 x + 2 D) y = - 13

2 x + 2

Solve the problem.

19) Using a phone card to make a long distance call costs a flat fee of $0.66 plus $0.14 per minute starting with the first minute. What is an equation of the form y = mx + b for this situation?

A) y = 0.66x + 0.14 B) y = 0.14x C) y = 0.14x + 0.66 D) y = 0.66x 20) The following data show the list price, x, in thousands of dollars, and the dealer invoice price, y, also in

thousands of dollars, for a variety of sport utility vehicles. Find a linear equation that approximates the data, using the points (16.5, 16.1) and (20.0, 18.3).

List Price Dealer Invoice Price 16.5 16.1

17.6 17.0 20.7 18.2 23.1 19.3 20.0 18.3 24.6 21.0

A) y = 0.629x + 5.73 B) y = 0.629x + 6.38 C) y = 1.59x - 10.2 D) y = 1.59x - 9.11 Solve the equation.

21) -2x + 7

4 + 2 = - 5x 3 A) 3

14 B) 45

26 C) - 3

14 D) - 45

14

Find the zero of f.

22) f(x) = 4x + 8

A) -2 B) -8 C) 8 D) 2

Solve the problem.

23) Suppose the sales of a particular brand of appliance satisfy the relationship S(x) = 190x + 3100, where S(x) represents the number of sales in year x, with x = 0 corresponding to 1982. In what year would the sales be 5570?

A) 1992 B) 1994 C) 1993 D) 1995

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Two linear functions, y1 and y2 are graphed in a viewing window with the point of intersection of the graphs given in the display at the bottom. Use the intersection method to solve the equation y1 = y2.

24)

A) 3 B) -1 C) -4 D) -2

Solve the formula for the specified variable.

25) I = nE

nr + R for n A) n = -IR

Ir - E B) n = -R

Ir - E C) n = IR

Ir + E D) n = IR(Ir - E)

Use the data shown in the scatter plot to determine whether the data should be modeled by a linear function.

26)

A) No, data points do not lie close to a line B) Yes, approximately linear

C) Yes, exactly linear

Write the best-fit linear model for the data.

27) The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands). Find a linear function that predicts the number of products sold as a function of the cost of advertising.

Cost 9 2 3 4 2 5 9 10 Number 85 52 55 68 67 86 83 73

A) y = 55.8 - 2.79x B) y = -26.4 - 1.42x C) y = 55.8 + 2.79x D) y = 26.4 + 1.42x

Does the system have a unique solution, no solution, or many solutions?

28) 2x - y = 5 -4x + 2y = -18

A) Many solutions B) No solution C) A unique solution

Solve the system of equations by substitution, if a solution exists.

29) x - 4y = -2 -2x - 5y = -9

A) x = 1, y = 2 B) No solution C) x = 2, y = 1 D) x = -2, y = 2

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Solve the problem.

30) The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. The linear model for this data is y = 67.3 + 1.07x, where x is number of hours studied and y is score on the test. Use this model to predict the score on the test of a student who studies 7 hours.

Hours 5 10 4 6 10 9 Score 64 86 69 86 59 87

A) 77.8 B) 79.8 C) 69.8 D) 74.8

Solve the system of equations by elimination, if a solution exists.

31) x + 4y = 24 7x + 5y = 30

A) x = 1, y = 5 B) x = 0, y = 6 C) x = -6, y = 0 D) No solution

To find the number of units that gives break-even for the product, solve the equation R = C. Round your answer to the nearest whole unit.

32) A manufacturer has total revenue given by the function R = 90x and has total cost given by C = 50x + 163,000, where x is the number of units produced and sold.

A) 140 units B) 4075 units C) 1164 units D) 40 units

Solve the system of equations graphically, if a solution exists.

33) 3x + y = -12 x + 6y = -38

A) x = -2, y = -3 B) x = -6, y = 6 C) x = -2, y = -6 D) x = 2, y = -6 Solve the problem.

34) A certain product has supply and demand functions given by p = 7q + 21 and p = 329 - 4q, respectively, where p is the price in dollars and q is the quantity supplied or demanded at price p. What price gives market equilibrium?

A) $28 B) $196 C) $175 D) $217

35) Suppose that the number of inhabitants of Country A is given by y = -7.32x + 912.86 million, and the number of inhabitants of Country B is given by y = 2.08x + 715.46 million, where x is the number of years since 1960. Find the year in which the number of inhabitants of Country A equals the number of inhabitants of Country B.

A) 1985 B) 1987 C) 1983 D) 1981

Solve the inequality.

36) -13 < 3y + 5 ≤ -1

A) -6 ≤ y < -2 B) -6 ≤ y ≤ -2 C) -6 < y ≤ -2 D) -6 < y < -2

Solve the problem.

37) A salesperson has two job offers. Company A offers a weekly salary of $300 plus commission of 12% of sales.

Company B offers a weekly salary of $600 plus commission of 6% of sales. What is the amount of sales above which Company A's offer is the better of the two?

A) $5000 B) $10,000 C) $2500 D) $5100

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Solve the inequality and draw a number line graph of the solution.

38) -9a - 5 > -10a + 4 A) (-1, ∞)

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

B) (-∞, 9)

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

C) (9, ∞)

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

D) (-∞, -1)

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

Determine if the graph of the function is concave up or concave down.

39) y = x2 - 4x + 4

A) Concave down B) Concave up

Determine if the vertex of the graph is a maximum point or a minimum point.

40) y = x2 - 10x + 25

A) Maximum B) Minimum

Solve the problem.

41) At Allied Electronics, production has begun on the X-15 Computer Chip. The total revenue function is given by R(x) = 59x - 0.3x2 and the total cost function is given by C(x) = 12x + 13, where x represents the number of boxes of computer chips produced. The total profit function, P(x), is such that P(x) = R(x) - C(x). Find P(x).

A) P(x) = -0.3x2 + 35x + 13 B) P(x) = 0.3x2 + 47x - 26

C) P(x) = 0.3x2 + 35x - 39 D) P(x) = -0.3x2 + 47x - 13

42) A projectile is thrown upward so that its distance above the ground after t sec is given by h(t) = -11t2 + 264t.

After how many seconds does it reach its maximum height?

A) 12 sec B) 6 sec C) 24 sec D) 18 sec

Use factoring to solve the equation.

43) 12d2 + 24d + 9 = 0 A) 3

2, 1

2 B) 2

3, 2 C) - 3

2, - 1

2 D) - 2

3, - 1 2

Find the x-intercepts.

44) y = x2 - 4x - 12

A) (6, 0), (-2, 0) B) (-10, 0), (-2, 0)

C) ( -12, 0) (- -12, 0) D) (-6, 0), (2, 0)

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Provide an appropriate response.

45) Write the equation of the quadratic function whose graph is shown.

-8 -6 -4 -2 2 4 6 8 x

8 y

6

4 2

-2

-4

-6 -8

(3, 5)

(5, 1)

-8 -6 -4 -2 2 4 6 8 x

8 y

6

4 2

-2

-4

-6 -8

(3, 5)

(5, 1)

A) y = -(x + 3)2 + 5 B) y = -(x - 3)2 + 5 C) y = (x - 3)2 + 5 D) y = -2(x - 3)2 + 5 Use the square root method to solve the equation.

46) x2 + 2 = 51

A) ±7 B) 25.5 C) ±6 D) 7

Use the quadratic formula to solve the equation.

47) 6y2 + 23y + 20 = 0 A) - 5

6, - 1

5 B) - 5

2, - 4

3 C) 5

2, 4

3 D) 5

2, - 4 3

Solve the problem.

48) The function defined by D t = 13t2 - 73t gives the distance in feet that a car going approximately 50 mph will skid in t seconds. Find the time it would take for the car to skid 276 ft. Round to the nearest tenth.

A) 9.2 sec B) 8.2 sec C) 9.4 sec D) 9.6 sec

Find the requested value.

49)

f(-1) for f(x) =

2x, if x ≤ -1 x - 7, if x > -1

A) 2 B) -8 C) -2 D) -6

Determine if the function is increasing or decreasing over the interval indicated.

50) y = 7x2 ; x > 0

A) Decreasing B) Increasing

Solve the problem.

51) A manufacturer's cost is given by C = 5003

n + 200, where C is the cost and n is the number of parts produced.

Find the cost when 125 parts are produced.

A) $100 B) $2700 C) $5790 D) $1450

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Graph the function.

52) f(x) = -3, if x ≥ 1 -1 - x, if x < 1 A)

-6 -4 -2 2 4 6 x

6 y

4

2

-2

-4

-6

-6 -4 -2 2 4 6 x

6 y

4

2

-2

-4

-6

B)

-6 -4 -2 2 4 6 x

6 y

4

2

-2

-4

-6

-6 -4 -2 2 4 6 x

6 y

4

2

-2

-4

-6

C)

-6 -4 -2 2 4 6 x

6 y

4

2

-2

-4

-6

-6 -4 -2 2 4 6 x

6 y

4

2

-2

-4

-6

D)

-6 -4 -2 2 4 6 x

6 y

4

2

-2

-4

-6

-6 -4 -2 2 4 6 x

6 y

4

2

-2

-4

-6

Find a power function that models the data in the table. Round to three decimal places if necessary.

53) x 1 2 3 4 5 y 4 14 39 60 120

A) y = 3.734x2.085 B) y = 27.8x - 36 C) y = 2.309x2.284 D) y =2.085x3.734 Find a quadratic function that best fits the data. Give answers to the nearest hundredth.

54) x -2 5 8 y 5 7 14

A) y = -0.13x2 - 0.67x + 6.86 B) y = 0.20x2 + 0.33x + 3.52

C) y = 0.21 - 1.28x + 6.44 D) y = 0.20x2 - 0.33x + 3.52

Solve the problem.

55) A furniture manufacturer decides to make a new line of desks. The table shows the profit, in thousands of dollars, for various levels of production.

Number of

Desks Produced 120 350 500 650 750 Profit (Thousands) 13 37 44 34 25

Find a quadratic function to model the data, and use the model to predict the profit if 450 desks are made.

A) Almost $44,000 B) Almost $42,000 C) Just over $40,000 D) Just under $45,000

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56) Assume it costs 34 cents to mail a letter weighing one ounce or less, and then 28 cents for each additional ounce or fraction of an ounce. Write a piecewise-defined function P(x) that represents the cost, in cents, of mailing a letter weighing between 0 and 3 ounces.

A) P(x) =

34 if 1 < x ≤ 2 62 if 2 < x ≤ 3 90 if 3 < x ≤ 4

B) P(x) =

34 if x < 1 62 if 1 ≤ x < 2 90 if 2 ≤ x < 3 C)

P(x) =

62 if x ≤ 1 90 if 1 < x ≤ 2 118 if 2 < x ≤ 3

D) P(x) =

34 if x ≤ 1 62 if 1 < x ≤ 2 90 if 2 < x ≤ 3

57) The percent of people who say they plan to stay in the same job position until they retire has decreased over recent years, as shown in the table below.

Year 1995 1996 1997 1998 1999 2000 Percent 42 38 35 34 30 26

Find a power function that models the data in the table using an input equal to the number of years from 1990.

A) y = 52.857x-0.071 B) y = 120.077x-0.638

C) y = - 0.638x120.077 D) y = 43.934x-0.240

Fill in each blank with the appropriate response.

58) The graph of y = -5(x - 2)2 + 7 can be obtained from the graph of y = x2 by shifting horizontally ___ units to the ______ , vertically stretching by a factor of ___ , reflecting across the __-axis, and shifting vertically ___ units in the _______ direction.

A) 2; left; 5; x; 7; upward B) 2; right; 7; y; 5; downward C) 2; right; 5; x; 7; upward D) 2; right; 7; x; 5; upward

Write the equation of the graph after the indicated transformation(s).

59) The graph of y = x2 is shifted 8 units to the left and 5 units downward.

A) y = (x + 8)2 - 5 B) y = (x + 5)2 - 8 C) y = (x - 5)2 + 8 D) y = (x - 8)2 - 5 Write the equation of the function g(x) that is transformed from the given function f(x), and whose graph is shown.

60) f(x) = x2

-10 -5 5 10 x

y 10

5

-5

-10

-10 -5 5 10 x

y 10

5

-5

-10

A) y = 2(x + 3)2 B) y = -2(x - 3)2 C) y = (x - 2)2 - 3 D) y = (x - 3)2 - 3

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Determine whether the graph of the given equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.

61) f(x) = -3x3 + 9x

A) x-axis, origin B) x-axis C) x-axis, y-axis D) Origin

Determine whether the function is even, odd, or neither.

62) f(x) = -4x3 + 5x

A) Even B) Odd C) Neither

For the pair of functions, perform the indicated operation.

63) f(x) = 2 - 4x, g(x) = -6x + 4 Find (f + g)(x).

A) 2x + 6 B) -6x + 2 C) -10x + 6 D) -4x

Find the specified domain and express it in interval notation.

64) For f(x) = x2 - 25 and g(x) = 2x + 3, what is the domain of f g (x)?

A) - 3

2, ∞ B) (-∞, ∞) C) -∞, - 3

2 ∪ - 3

2, ∞ D) (-5, 5)

Find the requested composition of functions.

65) Given f(x) = -4x + 2 and g(x) = 6x + 2, find (g ∘ f)(x).

A) -24x + 14 B) -24x + 10 C) -24x - 10 D) 24x + 14

Solve the problem.

66) AAA Technology finds that the total revenue function associated with producing a new type of computer chip is R(x) = 66 - 0.3x2, and the total cost function is C(x) = 5x + 12, where x represents the number of units of chips produced. Find the total profit function, P(x) .

A) P(x) = -0.03x2 + 5x - 54 B) P(x) = -0.03x2 + 5x + 78

C) P(x) = -0.03x2 - 5x + 54 D) P(x) = 0.03x2 + 5x + 56

Determine whether (f(g(x)) = x and whether (g (f(x)) = x.

67) f(x) = x3 + 6, g(x) = 3 x - 6

A) Yes, no B) No, yes C) Yes, yes D) No, no

Decide whether or not the functions are inverses of each other.

68) f(x) = 3

x + 7, g(x) = 7x + 3 x

A) Yes B) No

Solve the problem.

69) The supply function for a product is p(x) = 1

3x2 + 40, where x is the number of thousands of units a manufacturer will supply if the price is p(x) dollars. Find the inverse of this function.

A) p-1(x) = 3(x - 40) B) p-1(x) = 3 x - 40

C) p-1(x) = 3 (x - 40) D) p-1(x) = 1

3 x + 40

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Determine if the function is a growth exponential or a decay exponential.

70) y = 6-1.8x

A) Growth B) Decay

Write the logarithmic equation in exponential form.

71) log416 = 2

A) 24 = 16 B) 42 = 16 C) 416 = 2 D) 162 = 4

Write in logarithmic form.

72) 2-2 = 1 4 A) log

-2 1

4 = 2 B) log2 -2 = 1

4 C) log1/42 = -2 D) log2

1 4 = -2

Find the value of the logarithm without using a calculator.

73) log832 A) 4

3 B) 5

3 C) 5

4 D) 3

2

Use the properties of logarithms to evaluate the expression.

74) 5log5 (7x)

A) 57x B) 5 C) 7x D) 1

Solve.

75) Given that loga2 = 0.3010 and loga3 = 0.4771, find loga72.

A) 0.8616 B) 2.0333 C) 0.2549 D) 1.8572

Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.

76) log9 5 16

A) log95 - log 9 16 B) log95 ÷ log916 C) log95 + log 9 5 D) log916 - log 9 5

Rewrite as a single logarithm.

77) 1

2 log2 x4 + 1

4 log2 x4 - 1 6 log2 x

A) log2 x17/6 B) 7

6 log2 x8 C) log2 x9/2 D) log2 x7

Solve the problem.

78) The sales of a new product (in items per month) can be approximated by S(x) = 275 + 500 log(3t + 1), where t represents the number of months after the item first becomes available. Find the number of items sold per month 3 months after the item first becomes available.

A) 1275 items per month B) 775 items per month

C) 10,275 items per month D) 5275 items per month

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79) An earthquake was recorded as 105.8 times more powerful than a reference level zero earthquake. What was the magnitude of this earthquake on the Richter scale? R = log I

I0 .

A) 5.8 B) 4.2 C) 13.4 D) 15.8

Solve the equation.

80) 10 x = 30 (Round to two decimal places.)

A) 3.00 B) 1.48 C) 0.68 D) 2.10

Use a change of base formula to evaluate the given logarithm. Approximate to three decimal places.

81) log8.8(2.1)

A) 0.341 B) 2.931 C) 0.322 D) 0.239

Solve the equation. If necessary, round to thousandths.

82) 2(x - 3) = 25

A) 15.500 B) 7.644 C) 5.526 D) 1.644

Solve the equation.

83) 8 ln x = 7

A) 56e B) e-1 C) e7/8 D) e7

8

Solve the equation. Give an exact solution.

84) log (x - 9) = 1 - log x

A) -1, 10 B) -10, 1 C) -10 D) 10

Solve the problem.

85) Find the amount of money in an account after 7 years if $2400 is deposited at 6% annual interest compounded quarterly.

A) $3648.89 B) $3608.71 C) $3630.22 D) $3641.33

86) At the end of t years, the future value of an investment of $3000 in an account that pays 8% APR compounded monthly is S = 3000 1 + 0.08

12

12t dollars. Assuming no withdrawals or additional deposits, how long will it take

for the investment to reach $9000? Round to three decimal places.

A) 16.534 years B) 20.668 years C) 11.023 years D) 13.778 years

87) Find the exponential function that models the data in the table below.

x f(x) -2 7 -1 10.5 0 15.75 1 23.625 2 35.4375

A) f(x) = 7 · 0.5x B) f(x) = 15.75 · 1.5x C) f(x) = 15.75 · 1.33x D) f(x) = 10.5 · 1.5x

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88) Find the logarithmic function that models the data in the table below.

x 1 2 3 4 5 y 1.3 4.9 6.8 8.0 9.2

A) f(x) = 1.39 + 4.86 ln x B) f(x) = 1.29 + 5.19 ln x

C) f(x) = 1.39 + 4.86 log x D) f(x) = 4.86 + 1.39 ln x

89) Find an exponential function that models the data below and use it to predict about how many books will have been read in the eighth grade.

Grade Number of Books Read

2 9

3 27

4 67

5 121

A) 1883 books B) 3000 books C) 500 books D) 1000 books

90) Barbara knows that she will need to buy a new car in 2 years. The car will cost $15,000 by then. How much should she invest now at 10%, compounded quarterly, so that she will have enough to buy a new car?

A) $11,269.72 B) $13,605.44 C) $12,311.20 D) $13,636.36

91) Joe invested $2500 at 9% compounded semiannually. In how many years will Joe's investment have quadrupled? Round your answer to the nearest tenth of a year.

A) 15.4 years B) 8.8 years C) 2.0 years D) 15.7 years

Determine whether the polynomial function is cubic or quartic.

92) g(x) = 1

2x3 - 12x + 6

A) Cubic B) Quartic

Find the cubic or quartic function that models the data in the table.

93) x -5 0 2 3

y -60 5 3 10 (Cubic)

A) y = 0.49x3 - 0.25x2 + 2.83x + 5.00 B) y = 0.58x3 - 0.25x2 - 2.83x + 5.00 C) y = 0.49x3 - 0.25x2 - 2.83x + 5.00 D) y = 0.58x3 + 0.25x2 - 2.83x + 5.00

94) x 2 3 5 6 7

y 3 5 9 15 19 (Quartic)

A) y = -0.18x4 + 3.77x3 - 20.02x2 + 41.93x - 44.00 B) y = -0.18x4 + 3.27x3 + 20.02x2 + 55.93x - 46.00 C) y = -0.18x4 + 3.27x3 - 20.02x2 + 51.93x - 44.00 D) y = 0.16x4 + 3.77x3 + 20.02x2 + 51.93x - 44.00

(15)

Answer Key

Testname: FINAL EXAM PREP

1) A 2) A 3) A 4) B 5) C 6) B 7) C 8) C 9) D 10) D 11) C 12) C 13) A 14) B 15) A 16) B 17) D 18) B 19) C 20) A 21) D 22) A 23) D 24) B 25) A 26) B 27) C 28) B 29) C 30) D 31) B 32) B 33) C 34) D 35) D 36) C 37) A 38) C 39) B 40) B 41) D 42) A 43) C 44) A 45) B 46) A 47) B 48) B

(16)

Answer Key

Testname: FINAL EXAM PREP

51) B 52) D 53) A 54) D 55) B 56) D 57) B 58) C 59) A 60) D 61) D 62) B 63) C 64) C 65) A 66) C 67) C 68) B 69) A 70) B 71) B 72) D 73) B 74) C 75) D 76) A 77) A 78) B 79) A 80) B 81) A 82) B 83) C 84) D 85) D 86) D 87) B 88) A 89) A 90) C 91) D 92) A 93) B 94) C

References

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