Solving Systems of Linear Equations: Graphing Answers

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Which r-value represents the weakest correlation?

A
–0.75
B
–0.27
C
0.11
D
0.54
22
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Which r–value represents the strongest negative correlation?

A
–0.7
B
–0.22
C
0.38
D
0.9
23

The table shows the shipping costs for items of different values.

Question illustration
A
a weak positive correlation
B
a strong positive correlation
C
a weak negative correlation
D
a strong negative correlation
24

The function f(x) is graphed below.What is the equation of the line that is perpendicular to f(x) and passes through the point (4, –6)?

Question illustration
A
4x + 3y = –2
B
3x + 4y = –12
C
4x – 3y = 34
D
3x – 4y = 36
25

Which relationships would most likely be causal? Select two options.a positive correlation between the number of homework assignments completed and the grade on the exama positive correlation between the temperature in a canyon in the early spring and the number of snakes seen by hikersa positive correlation between a child’s shoe size and reading speeda negative correlation between the time a glass of ice water sits on the counter and its temperaturea positive correlation between the number of students attending football games and the number of games that are won

A
a positive correlation between the number of homework assignments completed and the grade on the exam
B
a positive correlation between the temperature in a canyon in the early spring and the number of snakes seen by hikers
C
a positive correlation between a child’s shoe size and reading speed
D
a negative correlation between the time a glass of ice water sits on the counter and its temperature
E
a positive correlation between the number of students attending football games and the number of games that are won
26

Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 8 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cups?

Question illustration
A
150 minutes
B
160 minutes
C
170 minutes
D
180 minutes
27

Which graph shows data whose r-value is most likely closest to 0?

A
A graph shows both axes unnumbered. Points show a downward trend.
Option A
B
A graph shows both axes unnumbered. Points show an upward trend.
Option B
C
A graph shows both axes unnumbered. Points show a downward trend.
Option C
D
A graph shows both axes unnumbered. Points are scattered all over the graph.
Option D
28

Mr. Palmer does an experiment to investigate the effects of distractions on studying and learning. He gives each participant a line with 10 words to memorize in 5 minutes. Some of the participants are interrupted during the 5 minutes with text messages from friends. The graph shows the number of words remembered after 5 minutes and the number of text messages sent to the participants as distractions.

Question illustration
A
4
B
5
C
6
D
7
29

A 2-column table with 4 rows. The first column is labeled x with entries 0, 5, 10, 15. The second column is labeled y with entries 15, 10, 5, 0.

Question illustration
A
1
B
-1
C
5
D
10
30

Which best describes the strength of a model with an r-value of 0.29?

A
a weak positive correlation
B
a strong positive correlation
C
a weak negative correlation
D
a strong negative correlation
31

An electrician charges a flat fee plus an hourly rate for a service call. She charges a total of $94 for a 3-hour service call on Monday and $130 for a 5-hour service call on Tuesday. How much should she charge for a 2-hour service call?

A
$36
B
$52
C
$76
D
$98
32

What is the x-intercept of the line containing the points (–6, 10) and (12, –2)?

A
4
B
5
C
6
D
9
33

What is the slope of a line that is perpendicular to the line y = x + 5?

Question illustration
A
–2
B
Option
Option B
C
Option
Option C
D
2
34

The cost, c, of a health club membership is related linearly to its length in months, m. If a 12-month membership costs $260 and an 18-month membership costs $380, which equation can be used to find the cost of a 30-month membership?

A
mc015-1.jpg
Option A
B
mc015-2.jpg
Option B
C
mc015-3.jpg
Option C
D
mc015-4.jpg
Option D
35

The number of times a player has golfed in one’s lifetime is compared to the number of strokes it takes the player to complete 18 holes. The correlation coefficient relating the two variables is –0.26.

A
It is a weak negative correlation, and it is not likely causal.
B
It is a weak negative correlation, and it is likely causal.
C
It is a strong negative correlation, and it is not likely causal.
D
It is a strong negative correlation, and it is likely causal.
36

Latitude and longitude describe locations on the Earth with respect to the equator and prime meridian. The table shows the latitude and daily high temperatures on the first day of spring for different locations with the same longitude.Which statement describes the slope of the line of best fit for the data?

Question illustration
A
The temperature decreases by about 0.9° for each 1 degree increase north in latitude.
B
The temperature decreases by about 1.7° for each 1 degree increase north in latitude.
C
The temperature increases by about 0.8° for each 1 degree increase north in latitude.
D
The temperature increases by about 1.3° for each 1 degree increase north in latitude.
37

Which statement is true about the graphs of the two lines y = x + 2 and y = x ?

Question illustration
A
The lines are perpendicular to each other because and are opposite reciprocals of each other.
Option A
B
The lines are perpendicular to each other because 2 and are opposite reciprocals of each other.
Option B
C
The lines are neither parallel nor perpendicular to each other because and are not opposite reciprocals of each other.
Option C
D
The lines are neither parallel nor perpendicular to each other because 2 and are not opposite reciprocals of each other.
Option D
38

Which table shows a negative correlation?

A
A 2-row table with 6 columns. The first row is labeled x with entries 2, 5, 6, 7, 10, 12. The second row is labeled y with entries negative 8, negative 5, negative 6, negative 3, negative 2, negative 1.
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
39

What is the equation of the line that is parallel to the line x = –2 and passes through the point (–5, 4)?

A
x = –5
B
x = 4
C
y = –5
D
y = 4

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