Objective 1 - wsfcs.k12.nc.us



Section II: Calculator Active

Use the following bowling scores to answer the questions #1 - 4 below.

70, 78, 83, 90, 110, 110, 122, 124, 128, 130, 145, 156, 174, 180, 205.

1) What is the mean?

A 110

B 124

C 127

D 135

2) What is the median?

A 110

B 124

C 127

D 135

3) What is the interquartile range?

A 66

B 70

C 90

D 110

4) To be an outlier a bowling score would have to be greater than what number?

A 99

B 127

C 205

D 255

5) Solve the system of equations: x + y = 11 and 3x – y = 5. Use a second method to check your answer.

6) Given the following equations determine the x value that results in an equal output for both functions.

[pic]

7) Graph the solution: y < 2x + 3.

8) Graph the system of linear inequalities below and determine if (3, 2) is a solution to the system.

[pic]

9) Let [pic]. Find [pic], [pic], [pic], and [pic]

10) If P(t) is the population of Tucson t years after 2000, interpret the statements P(0) = 487,000 and P(10) - P(9) = 5,900.

11) A rocket is launched from 180 feet above the ground at time t = 0. The function that models this situation is given by h = – 16t2 + 96t + 180, where t is measured in seconds and h is height above the ground measured in feet.

a. What is a reasonable domain restriction for t in this context?

b. Determine the height of the rocket two seconds after it was launched.

c. Determine the maximum height obtained by the rocket.

d. Determine the time when the rocket is 100 feet above the ground.

e. Determine the time at which the rocket hits the ground.

12) Examine the functions below. Which function has the larger maximum, a or b? How do you know?

b)

a)

13) The average rate of change of a function y = f(x) over an interval [a,b] is [pic].

In addition to finding average rates of change from functions given symbolically, graphically, or in a table, you may collect data from experiments or simulations (ex. falling ball, velocity of a car, etc.) and find average rates of change for the function modeling the situation.

a. Use the following table to find the average rate of change of g over the intervals [-2, -1] and [0,2]:

|x |g(x) |

|-2 |2 |

|-1 |-1 |

|0 |-4 |

|2 |-10 |

14) A cup of coffee is initially at a temperature of 93º F. The difference between its temperature and the room temperature of 68º F decreases by 9% each minute. Write a function describing the temperature of the coffee as a function of time.

15) You are planning to take on a part time job as a waiter at a local restaurant. During your interview, the boss told you that their best waitress, Jenni, made an average of $70 a night in tips last week. However, when you asked Jenni about this, she said that she made an average of only $50 per night last week. She provides you with a copy of her nightly tip amounts from last week (see below). Calculate the mean and the median tip amount.

|Day |Tip Amount |

|Sunday |$50 |

|Monday |$45 |

|Wednesday |$48 |

|Friday |$125 |

|Saturday |$85 |

a) Which value is Jenni’s boss using to describe

the average tip? Why do you think he chose this value?

b)Which value is Jenni using? Why do you think she chose this value?

c) Which value best describes the typical amount of tips per night? Explain why.

16) Write the expression below as a constant times a power of x and use your answer to decide whether the expression gets larger or smaller as x gets larger.

[pic]

17) Given that the following trapezoid has area 54 cm2, set up an equation to find the length of the base, and solve the equation.

18) Lava coming from the eruption of a volcano follows a parabolic path. The height h in feet of a piece of lava t seconds after it is ejected from the volcano is given by [pic]. After how many seconds does the lava reach its maximum height of 1000 feet?

19) A man-made lake is initially stocked with 500 fish. The population is expected to increase by about 20% each year. If the lake can’t support more than 2,000 fish, in about how many years will the lake become overpopulated with fish?

A 3

B 8

C 15

D It will never become overpopulated with fish.

20) A club is selling hats and jackets as a fundraiser. Their budget is $1500 and they want to order at least 250 items. They must buy at least as many hats as they buy jackets. Each hat costs $5 and each jacket costs $8.

a. Write a system of inequalities to represent the situation.

b. Graph the inequalities.

c. If the club buys 150 hats and 100 jackets, will the conditions be satisfied?

d. What is the maximum number of jackets they can buy and still meet the conditions?

21) Alex deposits $1,500 in a new savings account at 2% interest. The equation [pic] gives total savings y in the savings account at the end of x years. How much money will Alex have in his account after 5 years?

A $1,502 B $1,656.12

C $1,682.43 D $150,510

22) Bruce, Lola, Sheehan, Lakesha, and Mickey have 36, 48, 40, 61, and 312 stamps in their respective collections. Which measure of central tendency best represents the number of stamps in their collections?

A mean

B median

C mode

D mean or mode

23) The 1990 population of Australia was about 18.3 million people. The annual rate of growth is estimated at 1%. The table below shows the estimated population, to the nearest tenth of a million, for each year from 1991 to 1996. Which NEXT-NOW equation could be used to calculate Australia’s population estimate for any year based on the previous year’s population?

|Year |Estimated Population |

|1991 |18.5 |

|1992 |18.7 |

|1993 |18.9 |

|1994 |19.0 |

|1995 |19.2 |

|1996 |19.4 |

A NEXT = .01 NOW

B NEXT = .99 NOW

C NEXT = 1.01 NOW

D NEXT = 18.3 + NOW

24) Monica’s investment of $500 grows at a rate of 10% a year. How much money should Monica have after 4 years?

A $665.60

B $700

C $732.05

D $20,000

Use the box-and-whisker plots to answer questions #25 - 28 below.

25) What is true about the interquartile ranges (IQR)?

A The IQR for CD burners is 130 and for digital cameras 200.

B The IQR for CD burners is 250 and for digital cameras 600.

C The IQR for CD burners is 170 less than that for digital cameras.

D The IQR for CD burners is 200 less than that for digital cameras.

26) How much does the least expensive CD burner cost?

A $80

B $100

C $120

D $400

27) An outlier for the price of CD burners would be greater than what value?

A $250

B $380

C $395

D $445

28) If 50 digital cameras were included in this survey, approximately how many of them cost from $300 to $600?

A 13

B 25

C 37

D 50

Use the following information to answer questions #29 – 30 below.

3 notebooks and 5 $1.25 pens cost a total of $13.75.

29) Which equation could you solve to find the cost of each notebook?

A x + 1.25 = 13.75

B 3x + 5(1.25) = 13.75

C x + 5(1.25) = 13.75

D 3x + 1.25 = 13.75

30) How much does each notebook cost?

A $1.25

B $2.00

C $2.50

D $4.25

31) Matiana’s mom created the equation S = 20T + 10 to predict Matiana’s score on her next 100 point math test based on the number of hours Matiana studies. If the equation works and Matiana studies for 2.75 hours, T, what will be her score S?

A 50 points

B 65 points

C 75 points

D 100 points

32) Uncle Brian gives Rebecca money on each of her birthdays. Using the table below, predict how much money Uncle Brian will most likely give Rebecca on her 14th birthday?

|Birthday |8 |9 |10 |11 |12 |

|Money |$9 |$12 |$18 |$30 |$54 |

A $78

B $102

C $198

D $390

33) If a $2,000 bicycle depreciates 20% each year, for how many years will the bicycle be worth more than $500?

A 3 B 4

C 6 D 8

34) Which ordered pair is the solution of the system of equations: 3x – 2y = 1

5x – 3y = 4

A (–5, –8)

B [pic]

C (5, 7)

D (11, 16)

35) The population of Fayetteville was about 121,000 in 2000 and about 130,000 in 2003. If the population increases at a linear rate, in x years after 2000, which equation gives the population y?

A y = 3,000x + 121,000

B y = 9,000x

C y = 3,000x

D y = 9,000x + 130,000

36) Jeffrey received a $1,000 5-year certificate of deposit for his 15th birthday. If the certificate of deposit earns 6.5% interest compounded annually, what will its value be in five years?

A $325

B $650

C $1325

D $1370

Use the following information to answer questions #37 - 39 below.

The table shows prices for items available at a store on the Outer Banks.

|Item |Price |

|Flag |$19.99 |

|Single line kite |$13.99 |

|Box kite |$22.99 |

|Specialty kite |$62.99 |

|Stunt kite |$135.00 |

|Windmill |$52.99 |

|Water balloon launcher |$12.99 |

37) What is the range of prices of these items?

A $22.99

B $45.85

C $49.00

D $122.01

38) What is the median price?

A $22.99

B $45.85

C $49.00

D $122.01

39) Which of the prices in the table is an outlier?

A $12.99

B $62.99

C $135.00

D There is no outlier.

Use the following information to answer questions #40 – 41 below.

Buford’s salary was $30,000 in 2001 and $36,000 in 2004. Assume his salary follows a linear pattern.

40) Which equation gives Buford’s salary y in x years after 2001?

A y = 2,000x + 30,000

B y = 3,000x + 36,000

C y – 30,000 = 2,000(x – 2001)

D y = 30,000 – 2,000x

41) If this trend continues, what will Buford’s salary be in 2010?

A $38,000

B $42,000

C $48,000

D $54,000

42) A wooden fence is to be built around a 28 meter by 48 meter lot. How many meters of fencing will be needed? If the wood for the fence costs $41.00 per meter, what will the wood for the fence cost?

43) The sketch at the right shows a shed wall.

What is the area of the surface of this wall?

44) A penny has a diameter of approximately 18 millimeters. What is the area of the penny to the nearest square millimeter?

Use the following information to answer questions #45 - 47 below. The table shows Cumberland County population data.

|U.S. Census Data |

|Year |Population (thousands) |

|1950 | 96.0 |

|1960 |148.4 |

|1970 |212.0 |

|1980 |247.2 |

|1990 |274.6 |

|2000 |303.0 |

45) Which is the equation for the line of best fit for the data? Let x = 0 for 1950, x = 10 for 1960, and so on.

_________________________________________________

46) Which most accurately describes the data?

A From 1950 to 2000, the population increased steadily by 110,000 people per decade.

B The population growth decreased each decade.

C A linear model is not helpful for prediction with this data.

D From 1950 to 2000, there was an overall growth in population of about 4,140 people per year.

47) Which is the best estimate of the population in the 2010 census year?

A about 315,000

B about 360,000

C about 400,000

D about 500,000

48) What is the volume of the cylinder?

A 47.1 square centimeters

B 94.2 square centimeters

C 141.4 square centimeters

D 150.8 square centimeters

Use the following information to answer questions #49 – 52 below.

These were the daily high temperatures in a North Carolina town from May 1 through May 31:

73, 70, 67, 70, 55, 62, 65, 83, 87, 56, 55, 72, 56, 67, 81, 65, 67, 48, 81, 78, 77, 65, 63, 89, 91, 56, 58, 67, 79, 59, 67

49) Which of the temperature intervals includes the greatest number of recorded highs during the month?

A 50°–59°

B 60°–69°

C 70°–79°

D 80°–89°

50) What was the average high temperature to the nearest degree for the month? _____________

51) What was the median high temperature? ______________

52) Which high temperature is the mode? _________________

53) Square WXYZ has vertices W(1, 5), X(9, 5), Y(9, 1), and Z(1, 1). What is the area of WXYZ?

A 4 square units

B 16 square units

C 32 square units

D 64 square units

Use the following information to answer questions 54 – 55 below: In 1994, John bought a rare stamp for $500. He expects the stamp to increase in value 12% each year for the next 15 years.

54) Write a NEXT – NOW equation that expresses this pattern of change?

55) Write an exponential equation that could be used to determine the stamp’s value, V, after x years?

Use the following for questions 56 - 57: Suppose a hospital patient receives an injection of medication that metabolizes in the blood according to the equation [pic], with M in milligrams and t in hours.

56) When will only 10% of the original dose remain active in the blood?

A 8 hours

B 10.3 hours

C 13.4 hours

D 21.5 hours

57) What is the approximate half-life of the medication?

A 2.5 hours

B 3.1 hours

C 4 hours

D 8 hours

58) The change of a quantity after x years can be modeled by the function y = 200(0.96)x. Which describes how the quantity changes each year?

A It is growing at an annual rate of 96%.

B It is growing at an annual rate of 0.96%.

C It is decreasing by 8 each year.

D It is decreasing at an annual rate of 4%.

Use the following information to answer questions 59 - 61.

The graph compares linear growth of $1,500 invested at 5% simple interest to exponential growth of the same amount invested at 5% compounded annually. For each function, A(t) represents the amount in dollars of the investment after t years.

59) Which is the best estimate of the amount of time it takes $1,500 to double in value when invested at 5% simple interest?

A 6 years

B 10 years

C 15 years

D 20 years

60) Which is the best estimate of the amount of time it takes $1,500 to double in value when invested at 5% compounded annually?

A 6 years

B 10 years

C 14 years

D 20 years

61) Which is the best estimate of the difference in value after 24 years for $1,500 invested by each method?

A $1,000

B $1,500

C $2,000

D $3,000

62) Archeologists have located an artifact midway between A and K. They have labeled this point M. What are the coordinates of M?

A (2, 18)

B (0, -3)

C (1, 9)

D (0, 8)

63) Line m is parallel to line n and passes through (5, -4). If the equation of n is [pic],

which describes m?

A Line m has a slope of [pic] and a y-intercept of -4.

B Line m has a slope of [pic] and a y-intercept of -2.

C Line m has a slope of [pic] and a y-intercept of 1.

D Line m has a slope of [pic] and a y-intercept of 5.

64) Sara’s starting salary is $32,500. Each year she receives a $700 raise. Write a next-now equation to describe the situation.

65) At which point do the graphs of [pic] and [pic] intersect?

A (2, -4)

B (-4, 1)

C [pic]

D [pic]

Use the following for questions 66 and 67.

Below is a histogram of the populations (in thousands) of the 40 largest cities in the United States, according to the 1990 census.

[pic]

72) How many of these cities had populations of less than 1,000,000?

A 15

B 17

C 32

D 40

73) Which of these is NOT a good description of this histogram?

A It has an outlier.

B It is skewed left.

C It is skewed right.

D It has gaps.

68) Marc bought a small lot on the North Carolina coast and plans to build a cottage on the lot. The lot is shown on the coordinate grid, with one of the corners of the lot as the origin. The grid uses units of feet. What is the perimeter of Marc’s lot to the nearest foot?

A 224 feet

B 264 feet

C 314 feet

D 321 feet

69) A gas dryer will cost Mr. Japlenko $480. Operating costs are about $7.20 per month. A comparable electric dryer costs $420, with monthly operating costs about $13.20. After how many months will Mr. Japlenko realize a savings if he purchases a gas dryer?

A [pic] months

B 9 months

C [pic] months

D 10 months

70) Lisa lights a candle and records its height in inches every hour. The results recorded as

(time, height) are (0, 20), (1, 18.3), (2, 16.6), (3, 14.9), (4, 13.2), (5, 11.5), (7, 8.1), (9, 4.7), and (10, 3). Express the candle’s height (h) as a function of time (t) and state the meaning of the slope and the intercept in terms of the burning candle.

71) Last season the sales of pennants costing $5 and mugs costing $6 at a baseball stadium totaled $4,540. This season the same numbers of mugs and pennants were sold, but at a cost of $7 each for the new mugs and $9 each for the new pennants. Write a system of equations that models this situation if x represents pennants sold, y represents mugs sold, and total sales this season were $6,560? Then solve the system.

72) A Chevy Suburban was purchased for $45,000 in the year 2000. The function

v(x) = 45,000(.85)x describes the value of the Chevy Suburban, x years after its purchase. What will the value of the vehicle be in the year 2010?

A $8859.35

B $8859.00

C $8860.00

D $8860.78

73) A home is purchased for $200,000. The value of the home x years after its purchase can be modeled by the equation V = 200,000(1.10)x. Which statement best describes how the value changes each year?

A The value decreases 10% yearly.

B The value increases 10% yearly.

C The value goes up 10 cents yearly.

D The value is increasing at a rate of 0.10% yearly.

74) Natalie kicked a soccer ball. The equation [pic]describes the height of the ball t seconds after it was kicked. Approximately how many seconds passed before the ball hit the ground?

A 0.8 seconds

B 3.1 seconds

C 4.8 seconds

D 9.3 seconds

75) What are the solutions to 4x² + 17x –15 = 0?

76) If f (x) = –7x + (–11), what is f (–4)?

77) Which of the following inequalities describes the graph below?

A [pic]

B [pic]

C [pic]

D [pic]

78) Why does the data in the table not represent a function?

|Domain |[pic] |[pic] |1 |[pic] |1 |

|Range |0 |4 |[pic] |4 |[pic] |

A A function cannot have fractions in its domain.

B The domain element 1 is assigned two different range elements, –5 and –2.

C Two different domain elements, –2 and [pic], each are paired with the same range element.

D It does represent a function.

79) Compare the shape and position of the graphs of [pic] and [pic], and explain the differences in terms of the algebraic expressions for the functions

80) A function of the form f(n) = P(1 + r)n is used to model the amount of money in a savings account that earns 5% interest, compounded annually, where n is the number of years since the initial deposit. What is the value of r? What is the meaning of the constant P in terms of the savings account?

Use the following information to answer questions 81 and 82: The function y = –2x2 + 32x + 150 models the monthly flour expense last year at Antonio’s bakery, where x = 1 represents January.

81) During which month was the expense the highest?

A February

B June

C July

D August

82) What was the maximum flour expense?

A $150

B $270

C $278.

D $406

83) Use slope and distance formula to verify the polygon formed by connecting the points (-3, -2), (5, 3), (9, 9), (1, 4) is a parallelogram.

84) The bar graph below gives the birth weight of a population of 100 chimpanzees. The line shows how the weights are normally distributed about the mean, 3250 grams. Estimate the percent of baby chimps weighing 3000-3999 grams.

85) Determine which situation(s) is best modeled by a normal distribution. Explain your reasoning.

o Annual income of a household in the U.S.

o Weight of babies born in one year in the U.S.

86) Why does the shape of the distribution of incomes for professional athletes tend to be skewed to the right?

87) Why does the shape of the distribution of test scores on a really easy test tend to be skewed to the left?

88) Why does the shape of the distribution of heights of the students at your school tend to be symmetrical?

89) On last week’s math test, Mrs. Smith’s class had an average of 83 points with a standard deviation of 8 points. Mr. Tucker’s class had an average of 78 points with a standard deviation of 4 points. Which class was more consistent with their test scores? How do you know?

90) Compare the patterns of (x, y) values when produced by the functions [pic] and

[pic] by completing these tasks.

a) Write a NOW- NEXT equation that would provide the same pattern of (x, y) values for each function.

b) How would you describe the similarities and differences in the relationships of x and y in terms of their graphs, tables, and equations.

91) The heights of Washington High School’s basketball players are: 5 ft 9in, 5 ft 4in, 5 ft 7 in,

5ft 6 in, 5 ft 5 in, 5 ft 3 in, and 5 ft 7 in. A student transfers to Washington High and joins the basketball team. Her height is 6 ft 10in.

a. What is the mean height of the team before the new player transfers in?_____________

What is the median height?_____________

b. What is the mean height after the new player transfers? ______________

What is the median height? ____________

c. What affect does her height have on the team’s height distribution and stats (center and spread)?

d. How many players are taller than the new mean team height? _____________

e. Which measure of center most accurately describes the team’s average height? Explain.

92) Given the segmented bar graph below, describe any trends in the context of the data.

Trends:

93) Use the frequency table to answer the following questions.

Youth Soccer League

| |Age Group |

|Gender |3-5 |6-8 |9-11 |12-14 |15-17 |Total |

| |years old |years old |years old |years old |years old | |

|Female |1 |4 |3 |4 |3 |15 |

|Total |5 |7 |6 |9 |8 |35 |

a) What is the relative frequency of players who are male and 9-11 years old? (joint relative frequency)

b) What is percentage of female players that are 15-17 years old? (conditional relative frequency)

c) What percentage of league members are male? (marginal relative frequency)

94) A concert hall has 58 seats in Row 1, 62 seats in Row 2, 66 seats in Row 3, and so on. The concert hall has 34 rows of seats. Write a recursive formula to find the number of seats in each row. How many seats are in row 5? Write the explicit formula to determine which row has 94 seats?

95) A salesperson earns $700 per month plus 20% of sales. Write an equation to find the minimum amount of sales needed to receive a salary of at least $2500 per month. Then solve.

96) A scientist has 100 grams of a radioactive substance. Half of it decays every hour. Write an equation to find how long it takes until 25 grams are left. Then solve.

97) A parking garage charges $1 for the first half-hour and $0.60 for each additional half-hour or portion thereof. If you have only $6.00 in cash, write an inequality and solve it to find how long you can park.

98) In a woman’s professional tennis tournament, the money a player wins depends on her finishing place in the standings. The first-place finisher wins half of $1,500,000 in total prize money. The second-place finisher wins half of what is left; then the third-place finisher wins half of that, and so on.

a. Write a rule to calculate the actual prize money in dollars won by the player finishing in nth place, for any positive integer n.

b. Graph the relationship that exists between the first 10 finishers and the prize money in dollars.

c. What pattern do you notice in the graph? What type of relationship exists between the two variables?

99) Grandma’s house is 20 miles away and Johnny wants to know how long it will take to get there using various modes of transportation.

a. Model this situation with an equation where time is a function of rate in miles per hour.

b. For each mode of transportation listed below, determine the time it would take to get to Grandma’s.

|Mode of Transportation |Rate of Travel in mph |Time of Travel in hrs. |

|bike |12mph | |

|car |55mph | |

|walking |4mph | |

100) Solve the system by elimination, checking your solution by graphing using technology.

3x + 2y = 6

x – 4y = 2

101) Solve the system by substitution, checking your solution by graphing using technology.

-3x + 5y = 6

2x + y = 6

102) Solve each equation by graphing. Give your answer to the nearest tenth.

a) [pic]

b) [pic]

103) Solve the following equation by the method of your choice: [pic].

104) Graph the solution set for the following system of inequalities.

[pic]

[pic]

105) Suppose a line k in a coordinate plane has slope [pic].

a. What is the slope of a line parallel to k? Why must this be the case?

b. What is the slope of a line perpendicular to k? Why does this seem reasonable?

106) Two points A(0, -4) , B(2, -1) determines a line, AB.

a. What is the equation of the line AB?

b. What is the equation of the line perpendicular to AB passing through the point (2,-1)?

107) John was visiting three cities that lie on a coordinate grid at (-4, 5), (4, 5), and (-3, -4). If he visited all the cities and ended up where he started, what is the distance in miles he traveled?

108) A single bacterium is placed in a test tube and splits in two after one minute. After two minutes, the resulting two bacteria split in two, creating four bacteria. This process continues for one hour until test tube is filled up.

• How many bacteria are in the test tube after 5 minutes? 15 minutes?

•

• Write a recursive rule to find the number of bacteria in the test tube after n minutes. Convert this rule into explicit form.

•

• How many bacteria are in the test tube after one hour?

109) Graph the function f(x) = 4x + 7 and determine the domain and range, identifying any restrictions that exist.

110) Graph f(x) = 2x + 1, identifying its intercepts.

111) Describe the similarities and differences of a linear and an exponential NOW- NEXT equation.

112) Expand the expression [pic] to show that it is a quadratic expression of the form

[pic].

113) If the radius of a circle is 5x – 2 kilometers, what would the area of the circle be?

114) Explain why [pic] does not equal [pic].

115) When finding the area of a circle using the formula [pic], which unit of measure would be appropriate for the radius?

a. square feet

b. inches

c. cubic yards

d. pounds

116) Below is a table that represents the relationship between daily profit, P, in thousands, for an amusement park and the number of paying visitors in thousands, n.

|n |P |

|0 | 0 |

|1 | 5 |

|2 |8 |

|3 |9 |

|4 |8 |

|5 |5 |

|6 |0 |

a. What are the x-intercepts and y-intercepts and explain them in the context of the problem.

b. Identify any maximums or minimums and explain their meaning in the context of the problem.

c. Determine if the graph is symmetrical and identify which shape this pattern of change develops.

d. Describe the intervals of increase and decrease and explain them in the context of the problem.

117) Graph[pic], identifying its intercepts and maximum or minimum.

118) Suppose you have a rectangular flower bed whose area is 24ft2. The shortest side is (x - 4) ft. and the longest side is (2x) ft. Find the length of the shortest side.

119) Connie works for a telephone company. She calls existing customers to sell them additional services for their account. The table below shows how much Connie earns for selling selected numbers of additional services. Create a scatter plot of the number of services sold and the daily pay she received.

|# of Services Sold |10 |20 |30 |40 |50 |

|Daily Pay in |60 |80 |100 |120 |140 |

|Dollars | | | | | |

a. Describe, in context, the form, strength, and direction of the scatterplot from the problem above.

b. What type of function models the data found in the scatterplot above? ____________________

c. Find the function that best describes the data. ____________________

d. What is the meaning of the slope and y-intercept in the context of the problem?

e. Use the model to predict Connie’s earnings for selling 100 services. ___________________

120) Below is the data for the 1919 season and World Series batting averages for nine White Sox players.

|Season Batting Average |

|11.0 |9.2 |5.6 |

|8.4 |7.2 |12.1 |

|10.5 |14.0 |15.3 |

|6.3 |8.7 |11.3 |

|17.0 |13.5 |14.2 |

|Fertilizer A |

|7.1 |6.3 |1.0 |

|5.0 |4.5 |5.2 |

|3.2 |4.6 |2.4 |

|5.5 |3.8 |1.5 |

|6.2 |6.9 |2.6 |

|Fertilizer C |

|10.5 |11.8 |15.5 |

|14.7 |11.0 |10.8 |

|13.9 |12.7 |9.9 |

|10.3 |10.1 |15.8 |

|9.5 |13.2 |9.7 |

Notes: Know that a point has position, no thickness or distance. A line is made of infinitely many points, and a line segment is a subset of the points on a line with endpoints. A ray is defined as having a point on one end and a continuing line on the other.

An angle is determined by the intersection of two rays.

A circle is the set of infinitely many points that are the same distance from the center forming a circular arc, measuring 360 degrees.

Perpendicular lines are lines that interest at a point to form right angles.

Parallel lines that lie in the same plane are lines in which every point is equidistant from the corresponding point on the other line.

Use the following information to answer questions 139 - 140 below.

The table shows five used car prices for a luxury sedan taken from used car dealerships in North Carolina.

|Age (years) |Price |

|2.0 |$25,936 |

|2.5 |$27,775 |

|3.5 |$19,250 |

|1.0 |$30,265 |

|0.5 |$33,100 |

139) Based on a regression line for these data, which price might you expect for this model sedan if it were 54 months old?

A $10,450

B $14,545

C $16, 537

D $18,600

140) Based on a regression line for these data, approximately what price might you expect for this model sedan if it were 8 years old?

A $2,100

B $6,500

C $7,500

D $10,000

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