AnswersConcepts in Probability and Statistics ABox Plots

Box Plots — Cumulative exam Answers

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The data in the table represent the height of an object over time.

Question illustration
A
quadratic, because the height of the object increases or decreases with a multiplicative rate of change
B
quadratic, because the height increases and then decreases
C
exponential, because the height of the object increases or decreases with a multiplicative rate of change
D
exponential, because the height increases and then decreases
42
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Half of the product of two consecutive numbers is 105. Which equation can be used to solve for n, the smaller of the two numbers?

A
n2 + n – 210 = 0
B
n2 + n – 105 = 0
C
2n2 + 2n + 210 = 0
D
2n2 + 2n + 105 = 0
43

Which table shows no correlation?

A
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 1, negative 2, negative 3, negative 2, negative 5, negative 4, negative 8.
Option A
B
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 6, negative 7, negative 4, negative 2, 0, negative 1, positive 3.
Option B
C
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 2, negative 4, positive 6, positive 8, positive 12, positive 10, negative 16.
Option C
D
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 3, negative 5, negative 9, negative 11, negative 13, negative 15, negative 17.
Option D
44

Which best describes the range of the function f(x) = 2(3)x?

A
y > 0
B
y ≥ 0
C
y > 2
D
y ≥ 2
45

On a coordinate plane, 5 points are plotted. The points are (1, 1,296), (2, 1,080), (3, 900), (4, 750), (5, 625).

Question illustration
A
f(x + 1) = f(x)
Option A
B
f(x + 1) = f(x)
Option B
C
f(x + 1) =
Option C
D
f(x + 1) =
Option D
46

Simplify the expression –3(x + 3)2 – 3 + 3x. What is the simplified expression in standard form?

A
–3x2 – 18x – 27
B
–3x2 – 15x – 30
C
–3x2 + 3x + 6
D
–3x2 + 3x – 30
47

Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary.Quadratic formula: x =

Question illustration
A
–5.7
B
–4
C
–1
D
–0.7
48

Which is the best description of the graph of the function f(x) = 60()x?

Question illustration
A
The graph has an initial value of 20, and each successive term is determined by subtracting .
Option A
B
The graph has an initial value of 20, and each successive term is determined by multiplying by .
Option B
C
The graph has an initial value of 60, and each successive term is determined by subtracting .
Option C
D
The graph has an initial value of 60, and each successive term is determined by multiplying by .
Option D
49

Priya is playing a game where she earns online badges for scoring higher than the mean score on a level. After the tenth level, she scores 3,540 points, which is 2 standard deviations above the mean score of 3,110 points.

A
215
B
311
C
354
D
430
50

What is the product?

Question illustration
A
24 a squared minus 6 b
Option A
B
24 a squared minus 6 a b
Option B
C
24 a squared minus 18 b squared
Option C
D
24 a squared minus 18 a b
Option D

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