AnswersPBCSD_Grade_Forgiveness_1207350_Mathematics_for_College_Liberal_Arts_S2_2023Introduction to Statistics

Unit 1 Part 1 TEST: Applications and Functions Answers

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21
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Fiona is serving iced tea and lemonade at a picnic. She has only 44 glasses in which to serve the drinks. If x represents the number of glasses of iced tea and y represents the number of glasses of lemonade, which equation represents the number of glasses of ice tea she can serve?

A
x minus y equals 44
Option A
B
44 plus y equals x
Option B
C
y minus x equals 44
Option C
D
x equals 44 minus y
Option D
22
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The graph represents the cost of a subscription to a newspaper.

Question illustration
A
$1.50
B
$7.50
C
$15.00
D
$30.00
23

Will’s meal of grilled chicken strips and carrots contained a total of 333 calories. The bag of grilled chicken strips contained x servings of 110 calories each. The bag of carrots contained y servings of 29 calories each. Which equation written in standard form represents the number of servings of chicken strips and carrots that Will may have eaten?

A
110y = –29x + 333
B
29x + 110y = 333
C
29y = –110x + 333
D
110x + 29y = 333
24

Which is the graph of the equation ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
25

A coordinate plane with a line passing through (0, negative 5) and (3, 0).

Question illustration
A
3x + y = –5
B
x + 3y = –5
C
3x – 5y = –15
D
5x – 3y = 15
26

The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation , where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total?

Question illustration
A
55
B
60
C
130
D
150
27

Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?

A
5x + 3y = 18
B
5x – 3y = 30
C
5x – y = 30
D
5x + y = 18
28

What is the value of s in the equation , when ?

Question illustration
A
4
B
8
C
100
D
200
29

Katarina wrote the standard form of a linear equation as 4x – y = 8. Sofiya told her that the equation was not yet in standard form and gave her the right advice for how to fix it. What advice did Sofiya give to Katarina?

Question illustration
A
Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24.
B
Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.
C
Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 8.
D
Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 4.
30

The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = (x – 1). What is the slope-intercept form of the equation for this line?

Question illustration
A
y = x + 2
Option A
B
y = x – 4
Option B
C
y = x +
Option C
D
y = x –
Option D
31

Which equation represents a line that passes through (2, –) and has a slope of 3?

Question illustration
A
y – 2 = 3(x + )
Option A
B
y – 3 = 2(x + )
Option B
C
y + = 3(x – 2)
Option C
D
y + = 2(x – 3)
Option D
32

Alejandra correctly wrote the equation y – 3 = (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

Question illustration
A
y – 6 = 2(x – 10)
B
y – 2 = (x – 10)
Option B
C
y – 3 = (x – 2)
Option C
D
y – 3 = 2(x – 10)
33

The yearbook club has 5 members returning from last year. They set up a booth in the cafeteria to recruit more members, and an average of 3 new members sign up each day. Which best describes why the graph relating the total number of members on the yearbook club, m, and the number of days the booth is set up, d, will be continuous or discrete?

A
The graph will be continuous because an end day for the booth being set up is not given in the description.
B
The graph will be continuous because there can be any number of people signing up each day since we are only given the average.
C
The graph will be discrete because some day the number of available people to sign up for the club will run out.
D
The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.
34

Which graph shows the equation c = 10+ 3t, where c is the total cost of going to the carnival and t is the number of $3 tickets purchased?

A
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends at point (6, 27).
Option A
B
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 10), (1, 14), (2, 16), (3, 19), (4, 22), (5, 25), (6, 28).
Option B
C
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends around point (6, 60).
Option C
D
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 3), (1, 13), (2, 24), (3, 34), (4, 43), (5, 54).
Option D
35

Which shows the graph of x – 4y =–4?

A
A coordinate plane with a line passing through (0, negative 4) and (1, 0).
Option A
B
A coordinate plane with a line passing through (negative 4, negative 2), (0, negative 1) and (4, 0).
Option B
C
A coordinate plane with a line passing through (negative 2, negative 4), (negative 1, 0) and (0, 4).
Option C
D
A coordinate plane with a line passing through (negative 4, 0) and (0, 1).
Option D
36

The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table.

Question illustration
A
4.9
Option A
B
9.8
Option B
C
10.2
Option C
D
19.6
Option D
37

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2 when a = –2. Which equation represents this direct variation between a and b?

Question illustration
A
b = –a
B
–b = –a
C
b – a = 0
D
b(–a) = 0
38

Which equation represents the line that passes through (–6, 7) and (–3, 6)?

A
y = –x + 9
Option A
B
y = –x + 5
Option B
C
y = –3x – 11y
D
y = –3x + 25
39

Which graph represents a function with direct variation?

A
Option
B
Option
C
Option
D
Option
40

Which graph represents a line with a slope of and a y-intercept equal to that of the line y = x – 2?

Question illustration
A
Option
B
Option
C
Option
D
Option

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