Solving Systems of Linear Equations: Graphing 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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The table shows the number of calories in four meals and the cost of each meal.

Question illustration
A
a weak positive correlation
B
a strong positive correlation
C
a weak negative correlation
D
a strong negative correlation
3

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
4

Which phrases describe the relationship between heart rate and daily intake of caffeine? Select two options.

A
negative correlation
B
increasing heart rate
C
constant correlation
D
positive correlation
E
decreasing heart rate
5

Ms. Sutton recorded the word counts and scores of the top ten essays in a timed writing contest. The table shows her data.How does the word count of an essay relate to its score in the contest?

Question illustration
A
Word count tends to decrease as the score decreases.
B
Word count tends to increase as the score decreases.
C
Word count tends to remain constant as the score decreases.
D
Word count has no apparent relationship to the score of the essay.
6

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)
7

Question text not available

Question illustration
A
−4
B
Option
Option B
C
Option
Option C
D
4
8

A 2-column table with 4 rows. The first column is labeled x with entries 0, 1, 4, 5. The second column is labeled y with entries 0, 1, 4, 5.

Question illustration
A
0
B
1
C
4
D
5
9

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
10

Which graph shows a negative correlation?

A
A graph with both axes unnumbered. Points show a steady trend.
Option A
B
A graph with both axes unnumbered. Points are scattered loosely in the top half of the graph.
Option B
C
A graph with both axes unnumbered. Points show a downward trend.
Option C
D
A graph with both axes unnumbered. Points are scattered loosely all Over graph.
Option D
11

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
12

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
13

What is the slope of a line that is perpendicular to the line y = x + 4? The slope of the line is .

Answer not available
14

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
15

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
16

What is the slope of a line that is perpendicular to the line 2y – 3x = 8?

A
–3
B
Option
Option B
C
Option
Option C
D
Option
Option D
17

Question text not available

Question illustration
A
Yes, because both lines have a slope of .
Option A
B
Yes, because both lines have a slope of .
Option B
C
No, because the slopes of the lines are not equal.
D
No, because the slopes of the lines are not opposite reciprocals of each other.
18

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
19

Teddy is preparing to sell some wooden blocks at a garage sale. Before pricing individual bags of blocks, he decides to determine the approximate number of blocks per pound by researching the weights of different sets of blocks. The graph shows his data.

Question illustration
A
10
B
20
C
30
D
40
20

If f(x) is parallel to the line , which function could be f(x)?

Question illustration
A
mc001-2.jpg
Option A
B
mc001-3.jpg
Option B
C
mc001-4.jpg
Option C
D
mc001-5.jpg
Option D

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