Deck 3: Straight Lines and Linear Functions

Question 1

Which of the tables below show linear data?

A) Table 1 only
B) Table 2 only
C) Both Table 1 and Table 2
D) Neither table is linear.

Answer 1

B

Question 2

The following table shows the number , in millions, of cars sold in the U.S. years after 2005. Use the regression line for the data to estimate the number of cars sold in 2012.

Answer 2

D

Question 3

If a rock is thrown downward with an initial velocity of 8 feet per second, then its velocity , in feet per second, after seconds is given by By how much does velocity increase over a 6-second period?

A) 32.17 feet per second
B) 192.15 feet per second
C) 32 feet per second
D) 192 feet per second

Answer 3

D

Question 4

The following table shows the running speed , in feet per second, of animals of length , in inches. Use the regression line for the data to estimate the running speed of animals that are 14 inches long.

A) 17.61 feet per second
B) 36.36 feet per second
C) 16.65 feet per second
D) 36.1 feet per second

Question 5

Suppose is a linear function with . If the slope of is 2.59, what value of gives ?

A)
B)
C)
D)

Question 6

The following table shows the gross national product , in trillions of dollars, years after 2005. Use linear regression to model as a function of .

Question 7

Suppose is a linear function of . The slope is 2.42. An increase of 6 units in causes what change in ?

A) A decrease of 14.52 units
B) An increase of 14.52 units
C) An increase of 2.48 units
D) A decrease of 2.48 units

Question 8

The following table shows the depth , in inches, of water in a pond after days of eva- poration. Find a linear model for depth as a function of days.

Question 9

For a certain line, a run of 3 feet corresponds to a rise of 8 feet. What is the slope of this line?

A) 2.67 feet
B) 0.38 feet
C) 0.65 feet
D) 2.78 feet

Question 10

The following table shows the money left in your cookie jar after withdrawals from the jar. Find a linear model for M in terms of W.

Question 11

At a distance 5 miles west of town, oil-bearing deposits are found 3044 feet deep. Also, 8 miles west of town, the oil is found 3164 feet down. Assuming the oil-bearing stratum lies on a straight line,
How deep would you expect to drill 10 miles west of town in order to find oil?

A) 3124 feet
B) 3124.35 feet
C) 3244.77 feet
D) 3244 feet

Question 12

Find a linear model for the following data table. Round the slope to three decimal places.

Question 13

Find a linear model for the following data table.

Question 14

The following table shows the running speed , in centimeters per second, of ants as a func- tion of the temperature in degrees Celsius. Use linear regression to model running speed as a function of
Temperature.

Question 15

Suppose is a linear function with and . Find an equation for .

A)
B)
C)
D)

Question 16

At the outside wall the roof is 10 feet high. Also, 4 horizontal feet from the outside wall to- ward the interior of the room, the roof is 13 feet tall. If the roof is extended beyond the outside wall, what is
The height of the roof 5 horizontal feet from the outside wall toward the exterior of the room?

A) 6.9 feet
B) 8.46 feet
C) 6.25 feet
D) 9.22 feet

Question 17

The sales tax , in dollars, I have to pay when I buy dollars worth of merchandise is giv- en by .
If I decide to buy $38 more in merchandise, how much additional sales tax will I have to pay?

A) $3.42
B) $3.91
C) $0.81
D) $0.09

Question 18

The following table shows the running speed , in centimeters per second, of ants as a func- tion of the temperature in degrees Celsius. Based on the regression equation, how fast would an ant run
When the temperature is 30.9 degrees Celsius?

A) 5.9 centimeters per second
B) 4.95 centimeters per second
C) 4.97 centimeters per second
D) 3.99 centimeters per second

Question 19

The figure below shows a simplified pattern for a wrap skirt that is 20 inches long and has a top hem of 57 inches. The bottom hem has a length of 63 inches. Suppose you decide to alter the pattern to
Make a wrap skirt with the same top hem length but a length of 24 inches. How long should be the bottom
Hem?

A) 64.65 inches
B) 63.6 inches
C) 63.19 inches
D) 64.2 inches

Question 20

A line through (5, 8) has slope 0.69. What is the vertical intercept?

A) -6.4
B) 4.55
C) 5.38
D) -6.59

Question 21

A line through (8, 5) has slope 1.66. What is the vertical intercept?

A) 5.92
B) -8.28
C) -8.19
D) 4.99

Question 22

Which of the tables below show linear data?

A) Table 1 only
B) Table 2 only
C) Both Table 1 and Table 2
D) Neither table is linear.

Question 23

Find a linear model for the following data table.

Question 24

At a distance 5 miles west of town, oil-bearing deposits are found 3187 feet deep. Also, 8 miles west of town, the oil is found 3382 feet down. Assuming the oil-bearing stratum lies on a straight line,
How deep would you expect to drill 10 miles west of town in order to find oil?

A) 3317 feet
B) 3317.95 feet
C) 3512.38 feet
D) 3512 feet

Question 25

The following table shows the money left in your cookie jar after withdrawals from the jar. Find a linear model for M in terms of W.

Question 26

Solve the equation for .

Question 27

Suppose is a linear function of . The slope is 2.16. An increase of 7 units in causes what change in ?

A) A decrease of 15.12 units
B) An increase of 15.12 units
C) An increase of 3.24 units
D) A decrease of 3.24 units

Question 28

Suppose is a linear function with and . Find an equation for .

A)
B)
C)
D)

Question 29

Suppose is a linear function with . If the slope of is 2.08, what value of gives ?

A) 34
B)
C)
D)

Question 30

The sales tax , in dollars, I have to pay when I buy dollars worth of merchandise is giv- en by If I decide to buy $35 more in merchandise, how much additional sales tax will I have to pay?

A) $3.15
B) $3.44
C) $0.31
D) $0.09

Question 31

If a rock is thrown downward with an initial velocity of 6 feet per second, then its velocity , in feet per second, after seconds is given by By how much does velocity increase over a 5-second period?

A) 32.67 feet per second
B) 160.36 feet per second
C) 32 feet per second
D) 160 feet per second

Question 32

Solve the equation for .

Question 33

We have $16.33 to spend on vegetable plants for our garden. Tomato plants cost $0.81 each, and pepper plants cost $0.38 each. There is space in the garden for 26 plants.
How many of each are bought?

A) 13 tomatoes and 13 peppers
B) 11 tomatoes and 15 peppers
C) 13 tomatoes and 13 peppers
D) 15 tomatoes and 11 peppers

Question 34

At the outside wall the roof is 9 feet high. Also, 3 horizontal feet from the outside wall to- ward the interior of the room, the roof is 12 feet tall. If the roof is extended beyond the outside wall, what is
The height of the roof 3 horizontal feet from the outside wall toward the exterior of the room?

A) 6.99 feet
B) 8.25 feet
C) 6 feet
D) 8.72 feet

Question 35

Find a linear model for the following data table. Round the slope to three decimal places.

Question 36

The following table shows the depth , in inches, of water in a pond after days of eva- poration. Find a linear model for depth as a function of days.

Question 37

Solve the system of equations

Question 38

Solve the equation for .

Question 39

For a certain line, a run of 4 feet corresponds to a rise of 8 feet. What is the slope of this line?

A) 2 feet
B) 0.5 feet
C) 1.18 feet
D) 2.76 feet

Question 40

The figure below shows a simplified pattern for a wrap skirt that is 20 inches long and has a top hem of 57 inches. The bottom hem has a length of 63 inches. Suppose you decide to alter the pattern to
Make a wrap skirt with the same top hem length but a length of 23 inches. How long should be the bottom
Hem?

A) 64.48 inches
B) 63.45 inches
C) 63.14 inches
D) 63.9 inches

Question 41

At the outside wall the roof is 10 feet high. Also, 4 horizontal feet from the outside wall to- ward the interior of the room, the roof is 12 feet tall. If the roof is extended beyond the outside wall, what is
The height of the roof 5 horizontal feet from the outside wall toward the exterior of the room?

A) 7.94 feet
B) 8.33 feet
C) 7.5 feet
D) 8.9 feet

Question 42

Solve the equation for .

Question 43

We have $18.54 to spend on vegetable plants for our garden. Tomato plants cost $0.81 each, and pepper plants cost $0.36 each. There is space in the garden for 29 plants.
How many of each are bought?

A) 15 tomatoes and 14 peppers
B) 11 tomatoes and 18 peppers
C) 14 tomatoes and 15 peppers
D) 18 tomatoes and 11 peppers

Question 44

The following table shows the running speed , in feet per second, of animals of length , in inches. Use the regression line for the data to estimate the running speed of animals that are 14 inches long.

A) 17.01 feet per second
B) 36.78 feet per second
C) 16.8 feet per second
D) 36.23 feet per second

Question 45

The following table shows the running speed , in centimeters per second, of ants as a func- tion of the temperature in degrees Celsius. Use linear regression to model running speed as a function of
Temperature.

Question 46

Suppose is a linear function of . The slope is 2.24. An increase of 6 units in causes what change in ?

A) A decrease of 13.44 units
B) An increase of 13.44 units
C) An increase of 2.68 units
D) A decrease of 2.68 units

Question 47

A line through (8, 5) has slope 1.45. What is the vertical intercept?

A) 4.6
B) -6.6
C) -5.75
D) 4.55

Question 48

At a distance 4 miles west of town, oil-bearing deposits are found 3231 feet deep. Also, 6 miles west of town, the oil is found 3416 feet down. Assuming the oil-bearing stratum lies on a straight line,
How deep would you expect to drill 8 miles west of town in order to find oil?

A) 3416 feet
B) 3416.1 feet
C) 3601.17 feet
D) 3601 feet

Question 49

Suppose is a linear function with . If the slope of is 2.31, what value of gives ?

A)
B)
C)
D)

Question 50

The following table shows the number , in millions, of cars sold in the U.S. years after 2005. Use the regression line for the data to estimate the number of cars sold in 2014.

Question 51

The following table shows the running speed , in centimeters per second, of ants as a func- tion of the temperature in degrees Celsius. Based on the regression equation, how fast would an ant run
When the temperature is 30.9 degrees Celsius?

A) 4.35 centimeters per second
B) 4.94 centimeters per second
C) 3.68 centimeters per second
D) 3.95 centimeters per second

Question 52

Solve the system of equations

A) and
B) and
C) and
D) and

Question 53

If a rock is thrown downward with an initial velocity of 8 feet per second, then its velocity , in feet per second, after seconds is given by By how much does velocity increase over a 5-second period?

A) 32.54 feet per second
B) 160.47 feet per second
C) 32 feet per second
D) 160 feet per second

Question 54

The figure below shows a simplified pattern for a wrap skirt that is 20 inches long and has a top hem of 57 inches. The bottom hem has a length of 63 inches. Suppose you decide to alter the pattern to
Make a wrap skirt with the same top hem length but a length of 25 inches. How long should be the bottom
Hem?

A) 65.36 inches
B) 63.75 inches
C) 63.04 inches
D) 64.5 inches

Question 55

Suppose is a linear function with and . Find an equation for .

A)
B)
C)
D)

Question 56

Solve the equation for .

Question 57

The following table shows the gross national product , in trillions of dollars, years after 2005. Use linear regression to model as a function of .

Question 58

The sales tax , in dollars, I have to pay when I buy dollars worth of merchandise is giv- en by If I decide to buy $34 more in merchandise, how much additional sales tax will I have to pay?

A) $3.06
B) $4
C) $0.6
D) $0.09

Question 59

Solve the equation for .

Question 60

For a certain line, a run of 4 feet corresponds to a rise of 4 feet. What is the slope of this line?

A) 1 feet
B) 1 feet
C) 1.53 feet
D) 1.54 feet

Question 61

The following table shows the running speed , in centimeters per second, of ants as a func- tion of the temperature in degrees Celsius. Based on the regression equation, how fast would an ant run
When the temperature is 30.9 degrees Celsius?

A) 4.4 centimeters per second
B) 4.79 centimeters per second
C) 3.63 centimeters per second
D) 3.89 centimeters per second

Question 62

The following table shows the money left in your cookie jar after withdrawals from the jar. Find a linear model for M in terms of W.

A)
B)
C)
D)

Question 63

Solve the equation for .

Question 64

A line through (5, 6) has slope 0.47. What is the vertical intercept?

A) -7.58
B) 3.65
C) 3.71
D) -7.77

Question 65

At the outside wall the roof is 9 feet high. Also, 5 horizontal feet from the outside wall to- ward the interior of the room, the roof is 10 feet tall. If the roof is extended beyond the outside wall, what is
The height of the roof 4 horizontal feet from the outside wall toward the exterior of the room?

A) 9.15 feet
B) 7 feet
C) 8.2 feet
D) 7.14 feet

Question 66

The following table shows the running speed , in feet per second, of animals of length , in inches. Use the regression line for the data to estimate the running speed of animals that are 14 inches long.

A) 17.91 feet per second
B) 36.58 feet per second
C) 17.22 feet per second
D) 36.2 feet per second

Question 67

Find a linear model for the following data table. Round the slope to three decimal places.

A)
B)
C)
D)

Question 68

We have $12.26 to spend on vegetable plants for our garden. Tomato plants cost $0.83 each, and pepper plants cost $0.33 each. There is space in the garden for 22 plants.
How many of each are bought?

A) 8 tomatoes and 14 peppers
B) 12 tomatoes and 10 peppers
C) 14 tomatoes and 8 peppers

Question 69

Solve the equation for .

Question 70

The following table shows the gross national product , in trillions of dollars, years after 2005. Use linear regression to model as a function of .

Question 71

The following table shows the number , in millions, of cars sold in the U.S. years after 2005. Use the regression line for the data to estimate the number of cars sold in 2011.

A) 4.12 million
B) 5.41 million
C) 3.44 million
D) 4.44 million

Question 72

The following table shows the depth , in inches, of water in a pond after days of eva- poration. Find a linear model for depth as a function of days.

A)
B)
C)
D)

Question 73

At a distance 6 miles west of town, oil-bearing deposits are found 3027 feet deep. Also, 10 miles west of town, the oil is found 3221 feet down. Assuming the oil-bearing stratum lies on a straight line,
How deep would you expect to drill 11 miles west of town in order to find oil?

A) 3075.5 feet
B) 3075.59 feet
C) 3269.85 feet
D) 3269.5 feet

Question 74

Find a linear model for the following data table.

A)
B)
C)
D)

Question 75

The figure below shows a simplified pattern for a wrap skirt that is 20 inches long and has a top hem of 57 inches. The bottom hem has a length of 63 inches. Suppose you decide to alter the pattern to
Make a wrap skirt with the same top hem length but a length of 25 inches. How long should be the bottom
Hem?

A) 64.94 inches
B) 63.75 inches
C) 63.43 inches
D) 64.5 inches

Question 76

Solve the equation for .

Question 77

Which of the tables below show linear data?

A) Table 1 only
B) Table 2 only
C) Both Table 1 and Table 2
D) Neither table is linear.

Question 78

For a certain line, a run of 3 feet corresponds to a rise of 4 feet. What is the slope of this line?

A) 1.33 feet
B) 0.75 feet
C) 1.71 feet
D) 1.58 feet

Question 79

Solve the system of equations

A) and
B) and
C) and
D) and

Question 80

The following table shows the running speed , in centimeters per second, of ants as a func- tion of the temperature in degrees Celsius. Use linear regression to model running speed as a function of
Temperature.

A)
B)
C)
D)