Line of Best Fit — Unit test Answers

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A catering company uses a linear function to determine the total cost of parties. The following table shows the costs for dinner parties with varied numbers of guests. What is the cost to cater a dinner party with 90 guests?GuestsTotal Cost30$31560$555

A
$720
B
$795
C
$870
D
$945
2
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A salesperson is paid a flat rate plus a fixed percentage of her sales. Last month, she sold $16,000 worth of goods and was paid $1,600. Two months ago, she had $12,000 in sales and was paid $1,400. This month she sold $11,000 worth of goods. How much will she be paid?

A
$550
B
$855
C
$1,100
D
$1,350
3

Question text not available

Question illustration
A
−4
B
Option
Option B
C
Option
Option C
D
4
5

The table shows the number of flowers in four bouquets and the total cost of each bouquet.

Question illustration
A
–0.57
B
–0.28
C
0.28
D
0.57
6

Which graph shows data whose r-value is most likely closest to 1?

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
7

What is the equation of the line perpendicular to 2x – 3y = 13 that passes through the point (–6, 5)?

A
mc008-1.jpg
Option A
B
mc008-2.jpg
Option B
C
mc008-3.jpg
Option C
D
mc008-4.jpg
Option D
8

What is the slope of a line that is perpendicular to the line y = 8x + 5?

A
−8
B
Option
Option B
C
Option
Option C
D
8
9

Alejandro made an error in the steps below when determining the equation of the line that is perpendicular to the line 4x – 3y = –8 and passes through the point (3, –2).Alejandro made his first error in which step?

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
10

Given , what is the equation of the line that passes through the points (–p, –q) and (p, q)?

Question illustration
A
y = –x
B
mc012-2.jpg
Option B
C
y = q
D
y = 2x + (2p – q)
11

Lydia runs an experiment to determine if a coin is fair by counting the number of times a coin lands heads up. The table shows her data.According to the line of best fit, about how many times would the coin land heads up in 100 flips?

Question illustration
A
48
B
50
C
51
D
53
12

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
13

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.
14

A printer will produce 80 wedding invitations for $210. The price to produce 120 invitations is $290. The printer uses a linear function to determine the price for producing different amounts of invitations. How much will the printer charge to produce 60 invitations?

A
$120.00
B
$145.00
C
$157.50
D
$170.00
15

Question text not available

Question illustration
A
Yes, because the slope of is and the slope of is .
Option A
B
Yes, because the slope of is and the slope of is .
Option B
C
No, because the slope of is and the slope of is .
Option C
D
No, because the slope of is and the slope of is .
Option D
16

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
17

A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 12. Points and a line show a downward trend.

Question illustration
A
–0.91
B
–0.35
C
0.35
D
0.91
18

A graph shows the horizontal axis numbered 1 to 5 and the vertical axis numbered 1 to 5. Points and a line show an upward trend.

Question illustration
A
–0.65
B
–0.19
C
0.19
D
0.75
19

What is the slope of a line that is parallel to the line y = ?

Question illustration
A
Option
Option A
B
0
C
5
D
undefined
20

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

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