AnswersPBCSD_Grade_Forgiveness_1207350_Mathematics_for_College_Liberal_Arts_S2_2023Introduction to Statistics

Introduction to Statistics — Unit test Answers

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1
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What is the y-intercept of the function f(x)=4 – 5x?

A
–5
B
–4
C
4
D
5
2
Free Preview

What is the y-intercept of the function f(x)=4 – 5x?

A
–5
B
–4
C
4
D
5
3

A store sells notebooks for $3 each and does not charge sales tax. If x represents the number of notebooks Adele buys and y represents the total cost of the notebooks she buys, which best describes the values of x and y?

A
The value of x can be any real number, and y will be a real number.
B
The value of x can be any real number greater than or equal to 0, and y will be a real number greater than or equal to 0.
C
The value of x can be any integer, and y will be an integer.
D
The value of x can be any integer greater than or equal to 0, and y will be an integer greater than or equal to 0.
4

A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. Which equation represents the shipping cost as a function of x, the weight in pounds?

A
f(x) = 2.25x + 5
B
f(x) = 5x + 2.25
C
f(x) = 2.25x − 5
D
f(x) = 5x − 2.25
5

What is the slope of the line represented by the equation y = – – 5x?

Question illustration
A
–5
B
–
Option B
C
StartFraction 2 Over 3 EndFraction.
Option C
D
5
6

The graph represents revenue in dollars as a function of greeting cards sold.

Question illustration
A
y = x
Option A
B
y = x
Option B
C
y = 2x
D
y = 4x
7

A leaf hangs from a branch 12 feet in the air. It falls to the ground at a rate of 0.25 feet per second. Which graph could represent the leaf’s height in feet as a function of time, in seconds, after leaving the branch?

A
Option
B
Option
C
Option
D
Option
8

Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee. A contracted phone plan costs $50 per month and $0.02 per minute. How will the graphs of the monthly costs of the two cell phone plans compare where x represents minutes purchased in a month?

A
The prepaid phone plan will have a steeper line and lower y-intercept.
B
The contracted phone plan will have the same steepness and a higher y-intercept.
C
The prepaid phone plan will have a less steep line and the same y-intercept.
D
The contracted phone plan will have a steeper line and same y-intercept.
9

Harita must memorize 90 measures of music for her cello solo at a concert. She plans on memorizing 18 new measures for every 3 days of practice. Which equation can be used to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece?

A
m = 72 – 15d
B
m = 90 – 6d
C
m = 101 – 21d
D
m = 108 – 3d
10

The profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48 dollars each morning for the day’s supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold. Which equation represents y, the profit earned by the hot dog stand for x hot dogs sold?

A
y=48x−2
B
y=48x+2
C
y=2x−48
D
y=2x+48
11

What is the y-intercept of the function f(x) = –x + ?

Question illustration
A
–
Option A
B
–
Option B
C
StartFraction 1 Over 3 EndFraction.
Option C
D
StartFraction 2 Over 9 EndFraction.
Option D
12

Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?

A
y = 2x + 1
B
y = 2x + 3
C
y = 3x + 2
D
y = 3x + 5
13

Which statements are true about the lines? Select three options.

A
Line WZ has the same slope as line XY.
B
Line YX has a greater slope than line ZY.
C
Line XW has a lesser slope than line YZ.
D
Line ZW has the same y-intercept as line YZ.
E
Line XY has a lesser y-intercept than line XW.
14

A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend who is located at point B.

Question illustration
A
y = 2 – 4x
B
y = 4 –
Option B
C
y = 6 –
Option C
D
y = 8 – 2x
15

What is the slope of the line represented by the equation y = x – 3?

Question illustration
A
–3
B
Negative StartFraction 4 Over 5 EndFraction.
Option B
C
StartFraction 4 Over 5 EndFraction.
Option C
D
3
16

A coordinate plane with a line passing through (negative 4, 3), (0, 1), and (2, 0).

Question illustration
A
slope: –2; y-intercept: 2
B
slope: ; y-intercept: 1
Option B
C
slope: ; y-intercept: 2
Option C
D
slope: 2; y-intercept: 1
17

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
18

A coordinate plane with a line drawn passing through the points (0, 3) and (1,1).

Question illustration
A
y = –2x + 3
B
y = 2x + 3
C
y = x + 3
Option C
D
y = –x + 3
Option D
19

A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).

Question illustration
A
–3x + 2 = y
B
–x + 2 = y
Option B
C
x – 3 = y
Option C
D
2x – 3 = y
20

What is the slope of the line represented by the equation f(t)=2t−6?

A
The slope is 2 and the y-intercept is −6.
B
The slope is −6 and the y-intercept is 2.
C
The slope is 2 and the y-intercept is 6.
D
The slope is 6 and the y-intercept is 2.

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